Least Common Multiple of 842/976, 2457/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 842/976, 2457/783 quickly i.e. 2068794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/976, 2457/783 is 2068794.

LCM(842/976, 2457/783) = 2068794

LCM of 842/976, 2457/783

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 842/976,2457/783

Given numbers are 842/976,2457/783

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 842,2457

Least Common Multiple of Numerators i.e. LCM of 842,2457 is 2068794.

GCF of Denominators means GCF of 976,783 as per the given fractions.

GCF of 976,783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,2457

LCM of Fractions 842/976,2457/783 is 2068794

Given numbers has no common factors except 1. So, there LCM is their product i.e 2068794

Least Common Multiple of 842,2457 with GCF Formula

Least Common Multiple of 842,2457 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 842,2457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,2457) = 1

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

GCF(842,2457) x common factors =1 x 1 = 1

LCM(842,2457) = ( 842 × 2457 ) / 1

LCM(842,2457) = 2068794 / 1

LCM(842,2457) = 2068794


Lets's calculate GCF of 976,783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2068794/1

Therefore the LCM of Fractions 842/976,2457/783 is 2068794

Greatest Common Factor of 976,783 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,783 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Greatest Common Factor

We found the factors 976,783 . The biggest common factor number is the GCF number.
So the greatest common factor 976,783 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 842/976, 2457/783

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 842/976, 2457/783?

Answer: LCM of Numerators as per given numbers 842/976, 2457/783 is

LCM of Numerators i.e. for 842,2457 is 2068794

GCF of denominators i.e. for 976,783 is 1.

Thus, LCM of Fractions is 2068794.Finally, LCM of Fractions for 842/976, 2457/783 is 2068794.