What is the LCM of 8, 42 and 84?

What's the Least Common Multiple (LCM) of 8, 42 and 84?

Answer

LCM of 8, 42 and 84 is

168

First common multiples: 168, 336, 504, …

168 is divisible by all three: 168 ÷ 8 = 21, 168 ÷ 42 = 4, 168 ÷ 84 = 2 — and 21, 4 and 2 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 21 and of y/42 by 4 and of z/84 by 2.

8 = 2³

42 = 2 × 3 × 7

84 = 2² × 3 × 7

Prime	8	42	84	Highest power
2	2³	2	2²	2³
3	—	3	3	3
7	—	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 × 7 = 168

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Related Calculations

LCM Table

1st	2nd	3rd	LCM
8	42	69	3,864
8	42	70	840
8	42	71	11,928
8	42	72	504
8	42	73	12,264
8	42	74	6,216
8	42	75	4,200
8	42	76	3,192
8	42	77	1,848
8	42	78	2,184
8	42	79	13,272
8	42	80	1,680
8	42	81	4,536
8	42	82	6,888
8	42	83	13,944
8	42	84	168
8	42	85	14,280
8	42	86	7,224
8	42	87	4,872
8	42	88	1,848
8	42	89	14,952
8	42	90	2,520
8	42	91	2,184
8	42	92	3,864
8	42	93	5,208
8	42	94	7,896
8	42	95	15,960
8	42	96	672
8	42	97	16,296
8	42	98	1,176

LCM for 8, 42 and 84

What's the Least Common Multiple (LCM) of 8, 42 and 84?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 8, 42 and 84?

How to find the LCM of 8, 42 and 84 by prime factorization?

Can you get the LCM of 8, 42 and 84 two numbers at a time?

Is 168 divisible by 8, 42 and 84?

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