Least Common Multiple of 2971/942, 8258/7640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2971/942, 8258/7640 quickly i.e. 12267259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2971/942, 8258/7640 is 12267259.

LCM(2971/942, 8258/7640) = 12267259

LCM of 2971/942, 8258/7640

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 2971/942,8258/7640

Given numbers are 2971/942,8258/7640

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 2971,8258

Least Common Multiple of Numerators i.e. LCM of 2971,8258 is 24534518.

GCF of Denominators means GCF of 942,7640 as per the given fractions.

GCF of 942,7640 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2971,8258

LCM of Fractions 2971/942,8258/7640 is 12267259

Given numbers has no common factors except 1. So, there LCM is their product i.e 24534518

Least Common Multiple of 2971,8258 with GCF Formula

Least Common Multiple of 2971,8258 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 2971,8258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2971,8258) = 1

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

GCF(2971,8258) x common factors =1 x 1 = 1

LCM(2971,8258) = ( 2971 × 8258 ) / 1

LCM(2971,8258) = 24534518 / 1

LCM(2971,8258) = 24534518


Lets's calculate GCF of 942,7640

2 942, 7640
471, 3820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24534518/2

Therefore the LCM of Fractions 2971/942,8258/7640 is 12267259

Greatest Common Factor of 942,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,7640 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 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 942,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 942,7640 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 2971/942, 8258/7640

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 2971/942, 8258/7640?

Answer: LCM of Numerators as per given numbers 2971/942, 8258/7640 is

LCM of Numerators i.e. for 2971,8258 is 24534518

GCF of denominators i.e. for 942,7640 is 2.

Thus, LCM of Fractions is 12267259.Finally, LCM of Fractions for 2971/942, 8258/7640 is 12267259.