Least Common Multiple of 52/351, 80/699, 915/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/351, 80/699, 915/163 quickly i.e. 190320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/351, 80/699, 915/163 is 190320.

LCM(52/351, 80/699, 915/163) = 190320

LCM of 52/351, 80/699, 915/163

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 52/351,80/699,915/163

Given numbers are 52/351,80/699,915/163

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 52,80,915

Least Common Multiple of Numerators i.e. LCM of 52,80,915 is 190320.

GCF of Denominators means GCF of 351,699,163 as per the given fractions.

GCF of 351,699,163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,80,915

LCM of Fractions 52/351,80/699,915/163 is 190320

2 52, 80, 915
2 26, 40, 915
5 13, 20, 915
13, 4, 183

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 4 x 183 = 190320

Least Common Multiple of 52,80,915 with GCF Formula

Least Common Multiple of 52,80,915 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 52,80,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,80,915) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(52,80,915) x common factors =1 x 20 = 20

LCM(52,80,915) = ( 52 × 80 × 915 ) / 20

LCM(52,80,915) = 3806400 / 20

LCM(52,80,915) = 190320


Lets's calculate GCF of 351,699,163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190320/1

Therefore the LCM of Fractions 52/351,80/699,915/163 is 190320

Greatest Common Factor of 351,699,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,699,163 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 351,699,163 . The biggest common factor number is the GCF number.
So the greatest common factor 351,699,163 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/351, 80/699, 915/163

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 52/351, 80/699, 915/163?

Answer: LCM of Numerators as per given numbers 52/351, 80/699, 915/163 is

LCM of Numerators i.e. for 52,80,915 is 190320

GCF of denominators i.e. for 351,699,163 is 1.

Thus, LCM of Fractions is 190320.Finally, LCM of Fractions for 52/351, 80/699, 915/163 is 190320.