Least Common Multiple of 61, 34, 42, 816

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 61, 34, 42, 816 i.e. 348432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 61, 34, 42, 816 is 348432.

LCM(61, 34, 42, 816) = 348432

LCM of 61, 34, 42, 816

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

LCM of:

Least Common Multiple of 61,34,42,816

Least Common Multiple (LCM) of 61,34,42,816 is 348432

2 61, 34, 42, 816
3 61, 17, 21, 408
17 61, 17, 7, 136
61, 1, 7, 8

∴ So the LCM of the given numbers is 2 x 3 x 17 x 61 x 1 x 7 x 8 = 348432

Least Common Multiple of 61,34,42,816 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 61,34,42,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,34,42,816) = 1

common factors(in case of two or more numbers have common factors) = 204

GCF(61,34,42,816) x common factors =1 x 204 = 204

LCM(61,34,42,816) = ( 61 × 34 × 42 × 816 ) / 204

LCM(61,34,42,816) = 71080128 / 204

LCM(61,34,42,816) = 348432

∴ Least Common Multiple of 61,34,42,816 is 348432

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 61, 34, 42, 816

1. What is the LCM of 61, 34, 42, 816?

Answer: LCM of 61, 34, 42, 816 is 348432.

2. What are the Factors of 348432?

Answer: Factors of 348432 are . There are integers that are factors of 348432

3. How to Find the LCM of 61, 34, 42, 816 ?

Least Common Multiple of 61, 34, 42, 816.

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(61, 34, 42, 816) = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 61 = 348432.