Least Common Multiple of 779/44, 989/76, 456/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 779/44, 989/76, 456/872 quickly i.e. 4622586 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 779/44, 989/76, 456/872 is 4622586.

LCM(779/44, 989/76, 456/872) = 4622586

LCM of 779/44, 989/76, 456/872

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 779/44,989/76,456/872

Given numbers are 779/44,989/76,456/872

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 779,989,456

Least Common Multiple of Numerators i.e. LCM of 779,989,456 is 18490344.

GCF of Denominators means GCF of 44,76,872 as per the given fractions.

GCF of 44,76,872 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 779,989,456

LCM of Fractions 779/44,989/76,456/872 is 4622586

19 779, 989, 456
41, 989, 24

∴ So the LCM of the given numbers is 19 x 41 x 989 x 24 = 18490344

Least Common Multiple of 779,989,456 with GCF Formula

Least Common Multiple of 779,989,456 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 779,989,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,989,456) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(779,989,456) x common factors =1 x 19 = 19

LCM(779,989,456) = ( 779 × 989 × 456 ) / 19

LCM(779,989,456) = 351316536 / 19

LCM(779,989,456) = 18490344


Lets's calculate GCF of 44,76,872

2 44, 76, 872
2 22, 38, 436
11, 19, 218

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18490344/4

Therefore the LCM of Fractions 779/44,989/76,456/872 is 4622586

Greatest Common Factor of 44,76,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,76,872 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 44,76,872 . The biggest common factor number is the GCF number.
So the greatest common factor 44,76,872 is 4.


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 779/44, 989/76, 456/872

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 779/44, 989/76, 456/872?

Answer: LCM of Numerators as per given numbers 779/44, 989/76, 456/872 is

LCM of Numerators i.e. for 779,989,456 is 18490344

GCF of denominators i.e. for 44,76,872 is 4.

Thus, LCM of Fractions is 4622586.Finally, LCM of Fractions for 779/44, 989/76, 456/872 is 4622586.