Least Common Multiple of 990/775, 488/869, 714/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 990/775, 488/869, 714/267 quickly i.e. 28745640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 990/775, 488/869, 714/267 is 28745640.

LCM(990/775, 488/869, 714/267) = 28745640

LCM of 990/775, 488/869, 714/267

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 990/775,488/869,714/267

Given numbers are 990/775,488/869,714/267

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 990,488,714

Least Common Multiple of Numerators i.e. LCM of 990,488,714 is 28745640.

GCF of Denominators means GCF of 775,869,267 as per the given fractions.

GCF of 775,869,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 990,488,714

LCM of Fractions 990/775,488/869,714/267 is 28745640

2 990, 488, 714
3 495, 244, 357
165, 244, 119

∴ So the LCM of the given numbers is 2 x 3 x 165 x 244 x 119 = 28745640

Least Common Multiple of 990,488,714 with GCF Formula

Least Common Multiple of 990,488,714 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 990,488,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,488,714) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(990,488,714) x common factors =2 x 6 = 12

LCM(990,488,714) = ( 990 × 488 × 714 ) / 12

LCM(990,488,714) = 344947680 / 12

LCM(990,488,714) = 28745640


Lets's calculate GCF of 775,869,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28745640/1

Therefore the LCM of Fractions 990/775,488/869,714/267 is 28745640

Greatest Common Factor of 775,869,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 775,869,267 By Matching Biggest Common Factor Method

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 869

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

1,11,79,869

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 775,869,267 . The biggest common factor number is the GCF number.
So the greatest common factor 775,869,267 is 1.


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 990/775, 488/869, 714/267

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 990/775, 488/869, 714/267?

Answer: LCM of Numerators as per given numbers 990/775, 488/869, 714/267 is

LCM of Numerators i.e. for 990,488,714 is 28745640

GCF of denominators i.e. for 775,869,267 is 1.

Thus, LCM of Fractions is 28745640.Finally, LCM of Fractions for 990/775, 488/869, 714/267 is 28745640.