Least Common Multiple of 252/513, 695/646, 182/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/513, 695/646, 182/778 quickly i.e. 2276820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/513, 695/646, 182/778 is 2276820.

LCM(252/513, 695/646, 182/778) = 2276820

LCM of 252/513, 695/646, 182/778

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 252/513,695/646,182/778

Given numbers are 252/513,695/646,182/778

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 252,695,182

Least Common Multiple of Numerators i.e. LCM of 252,695,182 is 2276820.

GCF of Denominators means GCF of 513,646,778 as per the given fractions.

GCF of 513,646,778 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,695,182

LCM of Fractions 252/513,695/646,182/778 is 2276820

2 252, 695, 182
7 126, 695, 91
18, 695, 13

∴ So the LCM of the given numbers is 2 x 7 x 18 x 695 x 13 = 2276820

Least Common Multiple of 252,695,182 with GCF Formula

Least Common Multiple of 252,695,182 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 252,695,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,695,182) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(252,695,182) x common factors =1 x 14 = 14

LCM(252,695,182) = ( 252 × 695 × 182 ) / 14

LCM(252,695,182) = 31875480 / 14

LCM(252,695,182) = 2276820


Lets's calculate GCF of 513,646,778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2276820/1

Therefore the LCM of Fractions 252/513,695/646,182/778 is 2276820

Greatest Common Factor of 513,646,778 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,646,778 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1,2,389,778

Greatest Common Factor

We found the factors 513,646,778 . The biggest common factor number is the GCF number.
So the greatest common factor 513,646,778 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 252/513, 695/646, 182/778

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 252/513, 695/646, 182/778?

Answer: LCM of Numerators as per given numbers 252/513, 695/646, 182/778 is

LCM of Numerators i.e. for 252,695,182 is 2276820

GCF of denominators i.e. for 513,646,778 is 1.

Thus, LCM of Fractions is 2276820.Finally, LCM of Fractions for 252/513, 695/646, 182/778 is 2276820.