Least Common Multiple of 7767/869, 1080/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7767/869, 1080/237 quickly i.e. 932040/79 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7767/869, 1080/237 is 932040/79.

LCM(7767/869, 1080/237) = 932040/79

LCM of 7767/869, 1080/237

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 7767/869,1080/237

Given numbers are 7767/869,1080/237

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 7767,1080

Least Common Multiple of Numerators i.e. LCM of 7767,1080 is 932040.

GCF of Denominators means GCF of 869,237 as per the given fractions.

GCF of 869,237 is 79 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7767,1080

LCM of Fractions 7767/869,1080/237 is 932040/79

3 7767, 1080
3 2589, 360
863, 120

∴ So the LCM of the given numbers is 3 x 3 x 863 x 120 = 932040

Least Common Multiple of 7767,1080 with GCF Formula

Least Common Multiple of 7767,1080 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 7767,1080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7767,1080) = 9

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

GCF(7767,1080) x common factors =9 x 1 = 9

LCM(7767,1080) = ( 7767 × 1080 ) / 9

LCM(7767,1080) = 8388360 / 9

LCM(7767,1080) = 932040


Lets's calculate GCF of 869,237

79 869, 237
11, 3

∴ So the GCF of the given numbers is 79 = 79

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 932040/79

Therefore the LCM of Fractions 7767/869,1080/237 is 932040/79

Greatest Common Factor of 869,237 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,237 By Matching Biggest Common Factor Method

Factors of 869

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

1,11,79,869

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors 869,237 . The biggest common factor number is the GCF number.
So the greatest common factor 869,237 is 79.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7767/869, 1080/237

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 7767/869, 1080/237?

Answer: LCM of Numerators as per given numbers 7767/869, 1080/237 is

LCM of Numerators i.e. for 7767,1080 is 932040

GCF of denominators i.e. for 869,237 is 79.

Thus, LCM of Fractions is 932040/79.Finally, LCM of Fractions for 7767/869, 1080/237 is 932040/79.