Least Common Multiple of 878/942, 9735/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 878/942, 9735/115 quickly i.e. 8547330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/942, 9735/115 is 8547330.

LCM(878/942, 9735/115) = 8547330

LCM of 878/942, 9735/115

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 878/942,9735/115

Given numbers are 878/942,9735/115

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 878,9735

Least Common Multiple of Numerators i.e. LCM of 878,9735 is 8547330.

GCF of Denominators means GCF of 942,115 as per the given fractions.

GCF of 942,115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,9735

LCM of Fractions 878/942,9735/115 is 8547330

Given numbers has no common factors except 1. So, there LCM is their product i.e 8547330

Least Common Multiple of 878,9735 with GCF Formula

Least Common Multiple of 878,9735 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 878,9735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,9735) = 1

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

GCF(878,9735) x common factors =1 x 1 = 1

LCM(878,9735) = ( 878 × 9735 ) / 1

LCM(878,9735) = 8547330 / 1

LCM(878,9735) = 8547330


Lets's calculate GCF of 942,115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8547330/1

Therefore the LCM of Fractions 878/942,9735/115 is 8547330

Greatest Common Factor of 942,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,115 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 942,115 . The biggest common factor number is the GCF number.
So the greatest common factor 942,115 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 878/942, 9735/115

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 878/942, 9735/115?

Answer: LCM of Numerators as per given numbers 878/942, 9735/115 is

LCM of Numerators i.e. for 878,9735 is 8547330

GCF of denominators i.e. for 942,115 is 1.

Thus, LCM of Fractions is 8547330.Finally, LCM of Fractions for 878/942, 9735/115 is 8547330.