LCM for 10 and 225

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What's the Least Common Multiple (LCM) of 10 and 225?

Answer

LCM of 10 and 225 is
450

First common multiples: 450; 900; 1,350; …

450 is divisible by both: 450 ÷ 10 = 45, 450 ÷ 225 = 2 — and 45 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/10 by 45 and of y/225 by 2.

10 = 2 × 5

225 = 32 × 52

Prime10225Highest power
22—2
3—3232
555252

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2 × 32 × 52 = 450

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LCM Table

Number 1Number 2LCM
10100100
10105210
10110110
10120120
10135270
10145290
10150150
10155310
10160160
10165330
10180180
10190190
10195390
10200200
10215430
10225450
10235470
10250250
10260260
10265530
10275550
10280280
10305610
10310310
10320320
10325650
10330330
10350350
10355710
10360360

FAQ

What's the Least Common Multiple (LCM) of 10 and 225?

LCM of 10 and 225 is 450

How to find the LCM of 10 and 225 using prime factorization?

To find the LCM of 10 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 450.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 10 and 225: LCM = 450, GCF = 5.

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