Least Common Multiple of 7364/780, 2097/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7364/780, 2097/760 quickly i.e. 15442308/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7364/780, 2097/760 is 15442308/20.

LCM(7364/780, 2097/760) = 15442308/20

LCM of 7364/780, 2097/760

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 7364/780,2097/760

Given numbers are 7364/780,2097/760

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 7364,2097

Least Common Multiple of Numerators i.e. LCM of 7364,2097 is 15442308.

GCF of Denominators means GCF of 780,760 as per the given fractions.

GCF of 780,760 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7364,2097

LCM of Fractions 7364/780,2097/760 is 15442308/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 15442308

Least Common Multiple of 7364,2097 with GCF Formula

Least Common Multiple of 7364,2097 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 7364,2097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7364,2097) = 1

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

GCF(7364,2097) x common factors =1 x 1 = 1

LCM(7364,2097) = ( 7364 × 2097 ) / 1

LCM(7364,2097) = 15442308 / 1

LCM(7364,2097) = 15442308


Lets's calculate GCF of 780,760

2 780, 760
2 390, 380
5 195, 190
39, 38

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15442308/20

Therefore the LCM of Fractions 7364/780,2097/760 is 15442308/20

Greatest Common Factor of 780,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,760 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 780,760 . The biggest common factor number is the GCF number.
So the greatest common factor 780,760 is 20.


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 7364/780, 2097/760

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 7364/780, 2097/760?

Answer: LCM of Numerators as per given numbers 7364/780, 2097/760 is

LCM of Numerators i.e. for 7364,2097 is 15442308

GCF of denominators i.e. for 780,760 is 20.

Thus, LCM of Fractions is 15442308/20.Finally, LCM of Fractions for 7364/780, 2097/760 is 15442308/20.