LCM for 10 and 235

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What's the Least Common Multiple (LCM) of 10 and 235?

Answer

LCM of 10 and 235 is
470

First common multiples: 470; 940; 1,410; …

470 is divisible by both: 470 ÷ 10 = 47, 470 ÷ 235 = 2 — and 47 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 47 and of y/235 by 2.

10 = 2 × 5

235 = 5 × 47

Prime10235Highest power
22—2
5555
47—4747

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

LCM = 2 × 5 × 47 = 470

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LCM Table

Number 1Number 2LCM
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
10370370

FAQ

What's the Least Common Multiple (LCM) of 10 and 235?

LCM of 10 and 235 is 470

How to find the LCM of 10 and 235 using prime factorization?

To find the LCM of 10 and 235, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 470.

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 235: LCM = 470, GCF = 5.

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