Least Common Multiple of 6851/782, 9731/8958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6851/782, 9731/8958 quickly i.e. 66667081/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6851/782, 9731/8958 is 66667081/2.

LCM(6851/782, 9731/8958) = 66667081/2

LCM of 6851/782, 9731/8958

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 6851/782,9731/8958

Given numbers are 6851/782,9731/8958

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 6851,9731

Least Common Multiple of Numerators i.e. LCM of 6851,9731 is 66667081.

GCF of Denominators means GCF of 782,8958 as per the given fractions.

GCF of 782,8958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6851,9731

LCM of Fractions 6851/782,9731/8958 is 66667081/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 66667081

Least Common Multiple of 6851,9731 with GCF Formula

Least Common Multiple of 6851,9731 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 6851,9731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6851,9731) = 1

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

GCF(6851,9731) x common factors =1 x 1 = 1

LCM(6851,9731) = ( 6851 × 9731 ) / 1

LCM(6851,9731) = 66667081 / 1

LCM(6851,9731) = 66667081


Lets's calculate GCF of 782,8958

2 782, 8958
391, 4479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66667081/2

Therefore the LCM of Fractions 6851/782,9731/8958 is 66667081/2

Greatest Common Factor of 782,8958 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,8958 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1,2,3,6,1493,2986,4479,8958

Greatest Common Factor

We found the factors 782,8958 . The biggest common factor number is the GCF number.
So the greatest common factor 782,8958 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 6851/782, 9731/8958

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 6851/782, 9731/8958?

Answer: LCM of Numerators as per given numbers 6851/782, 9731/8958 is

LCM of Numerators i.e. for 6851,9731 is 66667081

GCF of denominators i.e. for 782,8958 is 2.

Thus, LCM of Fractions is 66667081/2.Finally, LCM of Fractions for 6851/782, 9731/8958 is 66667081/2.