LCM for 8, 28 and 30

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

What's the Least Common Multiple (LCM) of 8, 28 and 30?

Answer

LCM of 8, 28 and 30 is
840

First common multiples: 840; 1,680; 2,520; …

840 is divisible by all three: 840 ÷ 8 = 105, 840 ÷ 28 = 30, 840 ÷ 30 = 28 — and 105, 30 and 28 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/8 by 105 and of y/28 by 30 and of z/30 by 28.

8 = 23

28 = 22 × 7

30 = 2 × 3 × 5

Prime82830Highest power
22322223
3——33
5——55
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 = 23 × 3 × 5 × 7 = 840

More with these numbers

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
81528840
81628112
81728952
81828504
819281,064
82028280
82128168
82228616
823281,288
82428168
825281,400
82628728
827281,512
8282856
828291,624
82830840
828311,736
82832224
828331,848
82834952
82835280
82836504
828372,072
828381,064
828392,184
82840280
828412,296
82842168
828432,408
82844616

FAQ

What's the Least Common Multiple (LCM) of 8, 28 and 30?

LCM of 8, 28 and 30 is 840

How to find the LCM of 8, 28 and 30 by prime factorization?

Take every prime that appears in 8, 28 and 30 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5 × 7 = 840.

Can you get the LCM of 8, 28 and 30 two numbers at a time?

Yes. The LCM of 8 and 28 is 56, and the LCM of 56 and 30 is 840 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 840 divisible by 8, 28 and 30?

Yes, and by definition it is the smallest positive integer that is: 840 ÷ 8, 840 ÷ 28 and 840 ÷ 30 all come out whole. Any other common multiple of 8, 28 and 30 is a multiple of 840.

See Also