Least Common Multiple of 91/85, 21/34, 91/90, 42/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/85, 21/34, 91/90, 42/516 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/85, 21/34, 91/90, 42/516 is 546.

LCM(91/85, 21/34, 91/90, 42/516) = 546

LCM of 91/85, 21/34, 91/90, 42/516

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 91/85,21/34,91/90,42/516

Given numbers are 91/85,21/34,91/90,42/516

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 91,21,91,42

Least Common Multiple of Numerators i.e. LCM of 91,21,91,42 is 546.

GCF of Denominators means GCF of 85,34,90,516 as per the given fractions.

GCF of 85,34,90,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,21,91,42

LCM of Fractions 91/85,21/34,91/90,42/516 is 546

3 91, 21, 91, 42
7 91, 7, 91, 14
13 13, 1, 13, 2
1, 1, 1, 2

∴ So the LCM of the given numbers is 3 x 7 x 13 x 1 x 1 x 1 x 2 = 546

Least Common Multiple of 91,21,91,42 with GCF Formula

Least Common Multiple of 91,21,91,42 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 91,21,91,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,21,91,42) = 7

common factors(in case of two or more numbers have common factors) = 1911

GCF(91,21,91,42) x common factors =7 x 1911 = 13377

LCM(91,21,91,42) = ( 91 × 21 × 91 × 42 ) / 13377

LCM(91,21,91,42) = 7303842 / 13377

LCM(91,21,91,42) = 546


Lets's calculate GCF of 85,34,90,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546/1

Therefore the LCM of Fractions 91/85,21/34,91/90,42/516 is 546

Greatest Common Factor of 85,34,90,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,34,90,516 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 85,34,90,516 . The biggest common factor number is the GCF number.
So the greatest common factor 85,34,90,516 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 91/85, 21/34, 91/90, 42/516

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 91/85, 21/34, 91/90, 42/516?

Answer: LCM of Numerators as per given numbers 91/85, 21/34, 91/90, 42/516 is

LCM of Numerators i.e. for 91,21,91,42 is 546

GCF of denominators i.e. for 85,34,90,516 is 1.

Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 91/85, 21/34, 91/90, 42/516 is 546.