Least Common Multiple of 313/677, 795/508, 624/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/677, 795/508, 624/118 quickly i.e. 51757680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/677, 795/508, 624/118 is 51757680.

LCM(313/677, 795/508, 624/118) = 51757680

LCM of 313/677, 795/508, 624/118

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 313/677,795/508,624/118

Given numbers are 313/677,795/508,624/118

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 313,795,624

Least Common Multiple of Numerators i.e. LCM of 313,795,624 is 51757680.

GCF of Denominators means GCF of 677,508,118 as per the given fractions.

GCF of 677,508,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,795,624

LCM of Fractions 313/677,795/508,624/118 is 51757680

3 313, 795, 624
313, 265, 208

∴ So the LCM of the given numbers is 3 x 313 x 265 x 208 = 51757680

Least Common Multiple of 313,795,624 with GCF Formula

Least Common Multiple of 313,795,624 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 313,795,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,795,624) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(313,795,624) x common factors =1 x 3 = 3

LCM(313,795,624) = ( 313 × 795 × 624 ) / 3

LCM(313,795,624) = 155273040 / 3

LCM(313,795,624) = 51757680


Lets's calculate GCF of 677,508,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51757680/1

Therefore the LCM of Fractions 313/677,795/508,624/118 is 51757680

Greatest Common Factor of 677,508,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,508,118 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 677,508,118 . The biggest common factor number is the GCF number.
So the greatest common factor 677,508,118 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 313/677, 795/508, 624/118

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 313/677, 795/508, 624/118?

Answer: LCM of Numerators as per given numbers 313/677, 795/508, 624/118 is

LCM of Numerators i.e. for 313,795,624 is 51757680

GCF of denominators i.e. for 677,508,118 is 1.

Thus, LCM of Fractions is 51757680.Finally, LCM of Fractions for 313/677, 795/508, 624/118 is 51757680.