Least Common Multiple of 507/156, 811/659, 878/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 507/156, 811/659, 878/488 quickly i.e. 361013406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/156, 811/659, 878/488 is 361013406.

LCM(507/156, 811/659, 878/488) = 361013406

LCM of 507/156, 811/659, 878/488

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 507/156,811/659,878/488

Given numbers are 507/156,811/659,878/488

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 507,811,878

Least Common Multiple of Numerators i.e. LCM of 507,811,878 is 361013406.

GCF of Denominators means GCF of 156,659,488 as per the given fractions.

GCF of 156,659,488 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,811,878

LCM of Fractions 507/156,811/659,878/488 is 361013406

Given numbers has no common factors except 1. So, there LCM is their product i.e 361013406

Least Common Multiple of 507,811,878 with GCF Formula

Least Common Multiple of 507,811,878 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 507,811,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,811,878) = 1

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

GCF(507,811,878) x common factors =1 x 1 = 1

LCM(507,811,878) = ( 507 × 811 × 878 ) / 1

LCM(507,811,878) = 361013406 / 1

LCM(507,811,878) = 361013406


Lets's calculate GCF of 156,659,488

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361013406/1

Therefore the LCM of Fractions 507/156,811/659,878/488 is 361013406

Greatest Common Factor of 156,659,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,659,488 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 156,659,488 . The biggest common factor number is the GCF number.
So the greatest common factor 156,659,488 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 507/156, 811/659, 878/488

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 507/156, 811/659, 878/488?

Answer: LCM of Numerators as per given numbers 507/156, 811/659, 878/488 is

LCM of Numerators i.e. for 507,811,878 is 361013406

GCF of denominators i.e. for 156,659,488 is 1.

Thus, LCM of Fractions is 361013406.Finally, LCM of Fractions for 507/156, 811/659, 878/488 is 361013406.