Least Common Multiple of 90/94, 56/26, 49/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/94, 56/26, 49/742 quickly i.e. 8820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/94, 56/26, 49/742 is 8820.

LCM(90/94, 56/26, 49/742) = 8820

LCM of 90/94, 56/26, 49/742

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 90/94,56/26,49/742

Given numbers are 90/94,56/26,49/742

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 90,56,49

Least Common Multiple of Numerators i.e. LCM of 90,56,49 is 17640.

GCF of Denominators means GCF of 94,26,742 as per the given fractions.

GCF of 94,26,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,56,49

LCM of Fractions 90/94,56/26,49/742 is 8820

2 90, 56, 49
7 45, 28, 49
45, 4, 7

∴ So the LCM of the given numbers is 2 x 7 x 45 x 4 x 7 = 17640

Least Common Multiple of 90,56,49 with GCF Formula

Least Common Multiple of 90,56,49 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 90,56,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,56,49) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(90,56,49) x common factors =1 x 14 = 14

LCM(90,56,49) = ( 90 × 56 × 49 ) / 14

LCM(90,56,49) = 246960 / 14

LCM(90,56,49) = 17640


Lets's calculate GCF of 94,26,742

2 94, 26, 742
47, 13, 371

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17640/2

Therefore the LCM of Fractions 90/94,56/26,49/742 is 8820

Greatest Common Factor of 94,26,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,26,742 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 94,26,742 . The biggest common factor number is the GCF number.
So the greatest common factor 94,26,742 is 2.


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 90/94, 56/26, 49/742

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 90/94, 56/26, 49/742?

Answer: LCM of Numerators as per given numbers 90/94, 56/26, 49/742 is

LCM of Numerators i.e. for 90,56,49 is 17640

GCF of denominators i.e. for 94,26,742 is 2.

Thus, LCM of Fractions is 8820.Finally, LCM of Fractions for 90/94, 56/26, 49/742 is 8820.