Least Common Multiple of 392/60, 6102/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 392/60, 6102/869 quickly i.e. 1195992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 392/60, 6102/869 is 1195992.

LCM(392/60, 6102/869) = 1195992

LCM of 392/60, 6102/869

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 392/60,6102/869

Given numbers are 392/60,6102/869

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 392,6102

Least Common Multiple of Numerators i.e. LCM of 392,6102 is 1195992.

GCF of Denominators means GCF of 60,869 as per the given fractions.

GCF of 60,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 392,6102

LCM of Fractions 392/60,6102/869 is 1195992

2 392, 6102
196, 3051

∴ So the LCM of the given numbers is 2 x 196 x 3051 = 1195992

Least Common Multiple of 392,6102 with GCF Formula

Least Common Multiple of 392,6102 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 392,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,6102) = 2

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

GCF(392,6102) x common factors =2 x 1 = 2

LCM(392,6102) = ( 392 × 6102 ) / 2

LCM(392,6102) = 2391984 / 2

LCM(392,6102) = 1195992


Lets's calculate GCF of 60,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1195992/1

Therefore the LCM of Fractions 392/60,6102/869 is 1195992

Greatest Common Factor of 60,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,869 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 60,869 . The biggest common factor number is the GCF number.
So the greatest common factor 60,869 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 392/60, 6102/869

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 392/60, 6102/869?

Answer: LCM of Numerators as per given numbers 392/60, 6102/869 is

LCM of Numerators i.e. for 392,6102 is 1195992

GCF of denominators i.e. for 60,869 is 1.

Thus, LCM of Fractions is 1195992.Finally, LCM of Fractions for 392/60, 6102/869 is 1195992.