Least Common Multiple of 66, 14, 34, 742

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 66, 14, 34, 742 i.e. 416262 smallest integer divisible by all numbers.

Least common multiple (LCM) of 66, 14, 34, 742 is 416262.

LCM(66, 14, 34, 742) = 416262

LCM of 66, 14, 34, 742

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

LCM of:

Least Common Multiple of 66,14,34,742

Least Common Multiple (LCM) of 66,14,34,742 is 416262

2 66, 14, 34, 742
7 33, 7, 17, 371
33, 1, 17, 53

∴ So the LCM of the given numbers is 2 x 7 x 33 x 1 x 17 x 53 = 416262

Least Common Multiple of 66,14,34,742 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 66,14,34,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,14,34,742) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(66,14,34,742) x common factors =2 x 28 = 56

LCM(66,14,34,742) = ( 66 × 14 × 34 × 742 ) / 56

LCM(66,14,34,742) = 23310672 / 56

LCM(66,14,34,742) = 416262

∴ Least Common Multiple of 66,14,34,742 is 416262

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 66, 14, 34, 742

1. What is the LCM of 66, 14, 34, 742?

Answer: LCM of 66, 14, 34, 742 is 416262.

2. What are the Factors of 416262?

Answer: Factors of 416262 are . There are integers that are factors of 416262

3. How to Find the LCM of 66, 14, 34, 742 ?

Least Common Multiple of 66, 14, 34, 742.

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(66, 14, 34, 742) = 2 x 3 x 7 x 11 x 17 x 53 = 416262.