Least Common Multiple of 478/516, 719/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/516, 719/852 quickly i.e. 343682/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/516, 719/852 is 343682/12.

LCM(478/516, 719/852) = 343682/12

LCM of 478/516, 719/852

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 478/516,719/852

Given numbers are 478/516,719/852

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 478,719

Least Common Multiple of Numerators i.e. LCM of 478,719 is 343682.

GCF of Denominators means GCF of 516,852 as per the given fractions.

GCF of 516,852 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,719

LCM of Fractions 478/516,719/852 is 343682/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 343682

Least Common Multiple of 478,719 with GCF Formula

Least Common Multiple of 478,719 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 478,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,719) = 1

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

GCF(478,719) x common factors =1 x 1 = 1

LCM(478,719) = ( 478 × 719 ) / 1

LCM(478,719) = 343682 / 1

LCM(478,719) = 343682


Lets's calculate GCF of 516,852

2 516, 852
2 258, 426
3 129, 213
43, 71

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343682/12

Therefore the LCM of Fractions 478/516,719/852 is 343682/12

Greatest Common Factor of 516,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,852 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 516,852 . The biggest common factor number is the GCF number.
So the greatest common factor 516,852 is 12.


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 478/516, 719/852

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 478/516, 719/852?

Answer: LCM of Numerators as per given numbers 478/516, 719/852 is

LCM of Numerators i.e. for 478,719 is 343682

GCF of denominators i.e. for 516,852 is 12.

Thus, LCM of Fractions is 343682/12.Finally, LCM of Fractions for 478/516, 719/852 is 343682/12.