LCM Aur HCF Calculator — Do Number Ka
Bacche ka homework ho ya koi asli hisaab — LCM aur HCF dono kaam aate hain. Neeche do number daaliye, dono jawab saamne aa jayenge.
Dono ka matlab — ek line me
- HCF (Highest Common Factor) — sabse bada number jo dono ko poora-poora baant de. Hindi me Masa (Mahattam Samapavartak).
- LCM (Least Common Multiple) — sabse chhota number jisme dono poore-poore samaa jaayein. Hindi me Lasa (Laghuttam Samapavartya).
12 aur 18 lijiye:
- 12 ke factor: 1, 2, 3, 4, 6, 12
- 18 ke factor: 1, 2, 3, 6, 9, 18
- Dono me common: 1, 2, 3, 6 → sabse bada HCF = 6
- 12 ke pahade: 12, 24, 36, 48...
- 18 ke pahade: 18, 36, 54...
- Pehla common → LCM = 36
Jaldi nikaalne ke do tarike
Tarika 1 — Prime factor tod kar
12 = 2 × 2 × 3 | 18 = 2 × 3 × 3
- HCF — jo dono me common hai: 2 × 3 = 6
- LCM — saare, par common ek hi baar: 2 × 2 × 3 × 3 = 36
Tarika 2 — ek se doosra nikaalna
6 × 36 = 216, aur 12 × 18 = 216. Barabar.
Iska seedha faayda ye hai ki ek nikaal lijiye, doosra apne aap mil jaayega. HCF nikaalna aasaan hota hai, isliye pehle wo nikaaliye, phir LCM = (dono ka guna) ÷ HCF. Exam me ye trick samay bachati hai.
Ye niyam sirf do number par chalta hai. Teen ya usse zyada me ye laagu nahi hota.
Asli zindagi me kahan kaam aate hain
Ye sirf kitaabi cheez nahi hai. Kuch asli misaalein:
LCM kahan:
- Do bus ek saath kab milengi — ek 12 minute me aati hai, doosri 18 minute me. Dono ek saath 36 minute baad.
- Dawa ka samay — ek dawa 6 ghante me, doosri 8 ghante me. Dono ek saath 24 ghante baad.
- Tyohaar ya kaam ka chakkar — jo alag-alag antaraal par aata ho.
- Machine ki servicing — ek part 4 mahine me, doosra 6 mahine me. Dono ek saath 12 mahine par.
HCF kahan:
- Zameen ya kapda barabar tukdon me baantna — 12 meter aur 18 meter ke do tukde, sabse bade barabar tukde 6-6 meter ke honge.
- Saman barabar packet me baantna — 12 mithai aur 18 namkeen, bina bache 6 packet ban sakte hain.
- Tile lagana — kamra 12 × 18 feet, sabse badi barabar tile 6 × 6 feet ki chalegi.
Bacchon ko sikhane ka tarika
Zyadatar bacche LCM aur HCF me isliye ghabraate hain ki dono naam mil jaate hain. Kuch tarike jo kaam karte hain:
- Naam se yaad kariye. HCF me "Highest" hai par jawab chhota aata hai (kyunki wo baantne wala hai). LCM me "Least" hai par jawab bada aata hai (kyunki wo pahada hai). Ye ulta lagta hai, aur isi ulte pan ko yaad kar lijiye.
- Kahani banaiye. "Baantna hai to HCF, milna hai to LCM." Chocolate baantni hai — HCF. Do dost kab milenge — LCM.
- Chhote number se abhyaas. 4 aur 6 se shuru kariye, 48 aur 72 se nahi. Samajh aane ke baad bade number aasaan lagte hain.
- Jawab ki jaanch sikhaiye — HCF × LCM = dono ka guna. Bachcha khud apna jawab jaanch sake, ye sabse badi cheez hai.
Doosre ganit ke tools Percentage Calculator, Fraction Simplify aur Scientific Calculator me hain.
Aksar pooche jaane wale sawaal
LCM aur HCF me kya farak hai?
HCF sabse bada number hai jo dono ko poora baant de (jawab chhota aata hai). LCM sabse chhota number hai jisme dono samaa jaayein (jawab bada aata hai).
Ek se doosra nikaal sakte hain?
Haan, do number me: HCF × LCM = dono number ka guna. Isliye ek nikaal lijiye, doosra apne aap mil jaayega. Ye niyam teen number par laagu nahi hota.
Hindi me inhe kya kehte hain?
HCF ko Masa (Mahattam Samapavartak) aur LCM ko Lasa (Laghuttam Samapavartya) kehte hain.
Ye asli zindagi me kahan kaam aate hain?
LCM — do bus ek saath kab milengi, dawa ka samay, servicing ka chakkar. HCF — saman ya zameen ko barabar tukdon me baantna, tile ka size tay karna.