LCM for 10 and 275

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What's the Least Common Multiple (LCM) of 10 and 275?

Answer

LCM of 10 and 275 is
550

First common multiples: 550; 1,100; 1,650; …

550 is divisible by both: 550 ÷ 10 = 55, 550 ÷ 275 = 2 — and 55 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 55 and of y/275 by 2.

10 = 2 × 5

275 = 52 × 11

Prime10275Highest power
22—2
555252
11—1111

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

LCM = 2 × 52 × 11 = 550

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LCM Table

Number 1Number 2LCM
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
10370370
10385770
10390390
10400400
10405810

FAQ

What's the Least Common Multiple (LCM) of 10 and 275?

LCM of 10 and 275 is 550

How to find the LCM of 10 and 275 using prime factorization?

To find the LCM of 10 and 275, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 550.

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 275: LCM = 550, GCF = 5.

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