LCM for 25, 35 and 45

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 25, 35 and 45?

Answer

LCM of 25, 35 and 45 is
1,575

First common multiples: 1,575; 3,150; 4,725; …

1,575 is divisible by all three: 1,575 ÷ 25 = 63; 1,575 ÷ 35 = 45; 1,575 ÷ 45 = 35 — and 63, 45 and 35 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/25 by 63 and of y/35 by 45 and of z/45 by 35.

25 = 52

35 = 5 × 7

45 = 32 × 5

Prime253545Highest power
3——3232
5525552
7—7—7

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

LCM = 32 × 52 × 7 = 1,575

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
2530351,050
2531355,425
2532355,600
2533355,775
2534355,950
253535175
2535366,300
2535376,475
2535386,650
2535396,825
2535401,400
2535417,175
2535421,050
2535437,525
2535447,700
2535451,575
2535468,050
2535478,225
2535488,400
2535491,225
253550350
2535518,925
2535529,100
2535539,275
2535549,450
2535551,925
2535561,400
2535579,975
25355810,150
25355910,325

FAQ

What's the Least Common Multiple (LCM) of 25, 35 and 45?

LCM of 25, 35 and 45 is 1,575

How to find the LCM of 25, 35 and 45 by prime factorization?

Take every prime that appears in 25, 35 and 45 to the highest power it reaches in any one of them and multiply: 3² × 5² × 7 = 1,575.

Can you get the LCM of 25, 35 and 45 two numbers at a time?

Yes. The LCM of 25 and 35 is 175, and the LCM of 175 and 45 is 1,575 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 1,575 divisible by 25, 35 and 45?

Yes, and by definition it is the smallest positive integer that is: 1,575 ÷ 25, 1,575 ÷ 35 and 1,575 ÷ 45 all come out whole. Any other common multiple of 25, 35 and 45 is a multiple of 1,575.

See Also