Least Common Multiple of 372/320, 7850/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 372/320, 7850/516 quickly i.e. 365025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 372/320, 7850/516 is 365025.

LCM(372/320, 7850/516) = 365025

LCM of 372/320, 7850/516

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 372/320,7850/516

Given numbers are 372/320,7850/516

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 372,7850

Least Common Multiple of Numerators i.e. LCM of 372,7850 is 1460100.

GCF of Denominators means GCF of 320,516 as per the given fractions.

GCF of 320,516 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 372,7850

LCM of Fractions 372/320,7850/516 is 365025

2 372, 7850
186, 3925

∴ So the LCM of the given numbers is 2 x 186 x 3925 = 1460100

Least Common Multiple of 372,7850 with GCF Formula

Least Common Multiple of 372,7850 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 372,7850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,7850) = 2

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

GCF(372,7850) x common factors =2 x 1 = 2

LCM(372,7850) = ( 372 × 7850 ) / 2

LCM(372,7850) = 2920200 / 2

LCM(372,7850) = 1460100


Lets's calculate GCF of 320,516

2 320, 516
2 160, 258
80, 129

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1460100/4

Therefore the LCM of Fractions 372/320,7850/516 is 365025

Greatest Common Factor of 320,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,516 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

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

Greatest Common Factor

We found the factors 320,516 . The biggest common factor number is the GCF number.
So the greatest common factor 320,516 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 372/320, 7850/516

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 372/320, 7850/516?

Answer: LCM of Numerators as per given numbers 372/320, 7850/516 is

LCM of Numerators i.e. for 372,7850 is 1460100

GCF of denominators i.e. for 320,516 is 4.

Thus, LCM of Fractions is 365025.Finally, LCM of Fractions for 372/320, 7850/516 is 365025.