Least Common Multiple of 6420/119, 9461/4188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6420/119, 9461/4188 quickly i.e. 60739620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6420/119, 9461/4188 is 60739620.

LCM(6420/119, 9461/4188) = 60739620

LCM of 6420/119, 9461/4188

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 6420/119,9461/4188

Given numbers are 6420/119,9461/4188

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 6420,9461

Least Common Multiple of Numerators i.e. LCM of 6420,9461 is 60739620.

GCF of Denominators means GCF of 119,4188 as per the given fractions.

GCF of 119,4188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6420,9461

LCM of Fractions 6420/119,9461/4188 is 60739620

Given numbers has no common factors except 1. So, there LCM is their product i.e 60739620

Least Common Multiple of 6420,9461 with GCF Formula

Least Common Multiple of 6420,9461 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 6420,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6420,9461) = 1

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

GCF(6420,9461) x common factors =1 x 1 = 1

LCM(6420,9461) = ( 6420 × 9461 ) / 1

LCM(6420,9461) = 60739620 / 1

LCM(6420,9461) = 60739620


Lets's calculate GCF of 119,4188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60739620/1

Therefore the LCM of Fractions 6420/119,9461/4188 is 60739620

Greatest Common Factor of 119,4188 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,4188 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 4188

List of positive integer factors of 4188 that divides 4188 without a remainder.

1,2,3,4,6,12,349,698,1047,1396,2094,4188

Greatest Common Factor

We found the factors 119,4188 . The biggest common factor number is the GCF number.
So the greatest common factor 119,4188 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6420/119, 9461/4188

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 6420/119, 9461/4188?

Answer: LCM of Numerators as per given numbers 6420/119, 9461/4188 is

LCM of Numerators i.e. for 6420,9461 is 60739620

GCF of denominators i.e. for 119,4188 is 1.

Thus, LCM of Fractions is 60739620.Finally, LCM of Fractions for 6420/119, 9461/4188 is 60739620.