LCM for 10 and 400

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What's the Least Common Multiple (LCM) of 10 and 400?

Answer

LCM of 10 and 400 is
400

First common multiples: 400; 800; 1,200; …

As a common denominator: multiply the top and bottom of x/10 by 40.

10 divides 400 (400 ÷ 10 = 40), so the LCM is the larger number itself.

10 = 2 × 5

400 = 24 × 52

Prime10400Highest power
222424
555252

LCM = 24 × 52 = 400

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LCM Table

Number 1Number 2LCM
10225450
10235470
10250250
10260260
10265530
10275550
10280280
10305610
10310310
10320320
10325650
10330330
10350350
10355710
10360360
10370370
10380380
10385770
10390390
10400400
10405810
10420420
10435870
10440440
10445890
10460460
10470470
10480480
10485970
101,0001,000

FAQ

What's the Least Common Multiple (LCM) of 10 and 400?

LCM of 10 and 400 is 400

How to find the LCM of 10 and 400 using prime factorization?

To find the LCM of 10 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 400.

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 400: LCM = 400, GCF = 10.

See Also