Least Common Multiple of 76/780, 78/474, 479/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/780, 78/474, 479/167 quickly i.e. 1419756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/780, 78/474, 479/167 is 1419756.

LCM(76/780, 78/474, 479/167) = 1419756

LCM of 76/780, 78/474, 479/167

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 76/780,78/474,479/167

Given numbers are 76/780,78/474,479/167

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 76,78,479

Least Common Multiple of Numerators i.e. LCM of 76,78,479 is 1419756.

GCF of Denominators means GCF of 780,474,167 as per the given fractions.

GCF of 780,474,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,78,479

LCM of Fractions 76/780,78/474,479/167 is 1419756

2 76, 78, 479
38, 39, 479

∴ So the LCM of the given numbers is 2 x 38 x 39 x 479 = 1419756

Least Common Multiple of 76,78,479 with GCF Formula

Least Common Multiple of 76,78,479 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 76,78,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,78,479) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,78,479) x common factors =1 x 2 = 2

LCM(76,78,479) = ( 76 × 78 × 479 ) / 2

LCM(76,78,479) = 2839512 / 2

LCM(76,78,479) = 1419756


Lets's calculate GCF of 780,474,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1419756/1

Therefore the LCM of Fractions 76/780,78/474,479/167 is 1419756

Greatest Common Factor of 780,474,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,474,167 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 780,474,167 . The biggest common factor number is the GCF number.
So the greatest common factor 780,474,167 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 76/780, 78/474, 479/167

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 76/780, 78/474, 479/167?

Answer: LCM of Numerators as per given numbers 76/780, 78/474, 479/167 is

LCM of Numerators i.e. for 76,78,479 is 1419756

GCF of denominators i.e. for 780,474,167 is 1.

Thus, LCM of Fractions is 1419756.Finally, LCM of Fractions for 76/780, 78/474, 479/167 is 1419756.