Least Common Multiple of 34, 14, 684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 34, 14, 684 i.e. 81396 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 14, 684 is 81396.

LCM(34, 14, 684) = 81396

LCM of 34, 14, 684

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 34,14,684

Least Common Multiple (LCM) of 34,14,684 is 81396

2 34, 14, 684
17, 7, 342

∴ So the LCM of the given numbers is 2 x 17 x 7 x 342 = 81396

Least Common Multiple of 34,14,684 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 34,14,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,14,684) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(34,14,684) x common factors =2 x 2 = 4

LCM(34,14,684) = ( 34 × 14 × 684 ) / 4

LCM(34,14,684) = 325584 / 4

LCM(34,14,684) = 81396

∴ Least Common Multiple of 34,14,684 is 81396

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 34, 14, 684

1. What is the LCM of 34, 14, 684?

Answer: LCM of 34, 14, 684 is 81396.

2. What are the Factors of 81396?

Answer: Factors of 81396 are . There are integers that are factors of 81396

3. How to Find the LCM of 34, 14, 684 ?

Least Common Multiple of 34, 14, 684.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(34, 14, 684) = 2 x 2 x 3 x 3 x 7 x 17 x 19 = 81396.