Least Common Multiple of 97/610, 40/128, 780/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/610, 40/128, 780/416 quickly i.e. 75660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/610, 40/128, 780/416 is 75660.

LCM(97/610, 40/128, 780/416) = 75660

LCM of 97/610, 40/128, 780/416

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 97/610,40/128,780/416

Given numbers are 97/610,40/128,780/416

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 97,40,780

Least Common Multiple of Numerators i.e. LCM of 97,40,780 is 151320.

GCF of Denominators means GCF of 610,128,416 as per the given fractions.

GCF of 610,128,416 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,40,780

LCM of Fractions 97/610,40/128,780/416 is 75660

2 97, 40, 780
2 97, 20, 390
5 97, 10, 195
97, 2, 39

∴ So the LCM of the given numbers is 2 x 2 x 5 x 97 x 2 x 39 = 151320

Least Common Multiple of 97,40,780 with GCF Formula

Least Common Multiple of 97,40,780 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 97,40,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,40,780) = 1

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

GCF(97,40,780) x common factors =1 x 20 = 20

LCM(97,40,780) = ( 97 × 40 × 780 ) / 20

LCM(97,40,780) = 3026400 / 20

LCM(97,40,780) = 151320


Lets's calculate GCF of 610,128,416

2 610, 128, 416
305, 64, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151320/2

Therefore the LCM of Fractions 97/610,40/128,780/416 is 75660

Greatest Common Factor of 610,128,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,128,416 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 610,128,416 . The biggest common factor number is the GCF number.
So the greatest common factor 610,128,416 is 2.


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 97/610, 40/128, 780/416

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 97/610, 40/128, 780/416?

Answer: LCM of Numerators as per given numbers 97/610, 40/128, 780/416 is

LCM of Numerators i.e. for 97,40,780 is 151320

GCF of denominators i.e. for 610,128,416 is 2.

Thus, LCM of Fractions is 75660.Finally, LCM of Fractions for 97/610, 40/128, 780/416 is 75660.