Least Common Multiple of 542/970, 7165/4824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 542/970, 7165/4824 quickly i.e. 1941715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/970, 7165/4824 is 1941715.

LCM(542/970, 7165/4824) = 1941715

LCM of 542/970, 7165/4824

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 542/970,7165/4824

Given numbers are 542/970,7165/4824

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 542,7165

Least Common Multiple of Numerators i.e. LCM of 542,7165 is 3883430.

GCF of Denominators means GCF of 970,4824 as per the given fractions.

GCF of 970,4824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,7165

LCM of Fractions 542/970,7165/4824 is 1941715

Given numbers has no common factors except 1. So, there LCM is their product i.e 3883430

Least Common Multiple of 542,7165 with GCF Formula

Least Common Multiple of 542,7165 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 542,7165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,7165) = 1

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

GCF(542,7165) x common factors =1 x 1 = 1

LCM(542,7165) = ( 542 × 7165 ) / 1

LCM(542,7165) = 3883430 / 1

LCM(542,7165) = 3883430


Lets's calculate GCF of 970,4824

2 970, 4824
485, 2412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3883430/2

Therefore the LCM of Fractions 542/970,7165/4824 is 1941715

Greatest Common Factor of 970,4824 By Matching Biggest Common Factor Method

Greatest Common Factor of 970,4824 By Matching Biggest Common Factor Method

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,67,72,134,201,268,402,536,603,804,1206,1608,2412,4824

Greatest Common Factor

We found the factors 970,4824 . The biggest common factor number is the GCF number.
So the greatest common factor 970,4824 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 542/970, 7165/4824

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 542/970, 7165/4824?

Answer: LCM of Numerators as per given numbers 542/970, 7165/4824 is

LCM of Numerators i.e. for 542,7165 is 3883430

GCF of denominators i.e. for 970,4824 is 2.

Thus, LCM of Fractions is 1941715.Finally, LCM of Fractions for 542/970, 7165/4824 is 1941715.