Least Common Multiple of 91/49, 185/22, 652/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/49, 185/22, 652/428 quickly i.e. 10976420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/49, 185/22, 652/428 is 10976420.

LCM(91/49, 185/22, 652/428) = 10976420

LCM of 91/49, 185/22, 652/428

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 91/49,185/22,652/428

Given numbers are 91/49,185/22,652/428

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 91,185,652

Least Common Multiple of Numerators i.e. LCM of 91,185,652 is 10976420.

GCF of Denominators means GCF of 49,22,428 as per the given fractions.

GCF of 49,22,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,185,652

LCM of Fractions 91/49,185/22,652/428 is 10976420

Given numbers has no common factors except 1. So, there LCM is their product i.e 10976420

Least Common Multiple of 91,185,652 with GCF Formula

Least Common Multiple of 91,185,652 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 91,185,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,185,652) = 1

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

GCF(91,185,652) x common factors =1 x 1 = 1

LCM(91,185,652) = ( 91 × 185 × 652 ) / 1

LCM(91,185,652) = 10976420 / 1

LCM(91,185,652) = 10976420


Lets's calculate GCF of 49,22,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10976420/1

Therefore the LCM of Fractions 91/49,185/22,652/428 is 10976420

Greatest Common Factor of 49,22,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,22,428 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 49,22,428 . The biggest common factor number is the GCF number.
So the greatest common factor 49,22,428 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 91/49, 185/22, 652/428

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 91/49, 185/22, 652/428?

Answer: LCM of Numerators as per given numbers 91/49, 185/22, 652/428 is

LCM of Numerators i.e. for 91,185,652 is 10976420

GCF of denominators i.e. for 49,22,428 is 1.

Thus, LCM of Fractions is 10976420.Finally, LCM of Fractions for 91/49, 185/22, 652/428 is 10976420.