Least Common Multiple of 27/534, 79/211, 142/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/534, 79/211, 142/758 quickly i.e. 302886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/534, 79/211, 142/758 is 302886.

LCM(27/534, 79/211, 142/758) = 302886

LCM of 27/534, 79/211, 142/758

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 27/534,79/211,142/758

Given numbers are 27/534,79/211,142/758

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 27,79,142

Least Common Multiple of Numerators i.e. LCM of 27,79,142 is 302886.

GCF of Denominators means GCF of 534,211,758 as per the given fractions.

GCF of 534,211,758 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,79,142

LCM of Fractions 27/534,79/211,142/758 is 302886

Given numbers has no common factors except 1. So, there LCM is their product i.e 302886

Least Common Multiple of 27,79,142 with GCF Formula

Least Common Multiple of 27,79,142 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 27,79,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,79,142) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(27,79,142) x common factors =1 x 1 = 1

LCM(27,79,142) = ( 27 × 79 × 142 ) / 1

LCM(27,79,142) = 302886 / 1

LCM(27,79,142) = 302886


Lets's calculate GCF of 534,211,758

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302886/1

Therefore the LCM of Fractions 27/534,79/211,142/758 is 302886

Greatest Common Factor of 534,211,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,211,758 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 534,211,758 . The biggest common factor number is the GCF number.
So the greatest common factor 534,211,758 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 27/534, 79/211, 142/758

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 27/534, 79/211, 142/758?

Answer: LCM of Numerators as per given numbers 27/534, 79/211, 142/758 is

LCM of Numerators i.e. for 27,79,142 is 302886

GCF of denominators i.e. for 534,211,758 is 1.

Thus, LCM of Fractions is 302886.Finally, LCM of Fractions for 27/534, 79/211, 142/758 is 302886.