Least Common Multiple of 791/61, 940/21, 980/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 791/61, 940/21, 980/398 quickly i.e. 5204780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 791/61, 940/21, 980/398 is 5204780.

LCM(791/61, 940/21, 980/398) = 5204780

LCM of 791/61, 940/21, 980/398

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 791/61,940/21,980/398

Given numbers are 791/61,940/21,980/398

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 791,940,980

Least Common Multiple of Numerators i.e. LCM of 791,940,980 is 5204780.

GCF of Denominators means GCF of 61,21,398 as per the given fractions.

GCF of 61,21,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 791,940,980

LCM of Fractions 791/61,940/21,980/398 is 5204780

2 791, 940, 980
2 791, 470, 490
5 791, 235, 245
7 791, 47, 49
113, 47, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 113 x 47 x 7 = 5204780

Least Common Multiple of 791,940,980 with GCF Formula

Least Common Multiple of 791,940,980 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 791,940,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,940,980) = 1

common factors(in case of two or more numbers have common factors) = 140

GCF(791,940,980) x common factors =1 x 140 = 140

LCM(791,940,980) = ( 791 × 940 × 980 ) / 140

LCM(791,940,980) = 728669200 / 140

LCM(791,940,980) = 5204780


Lets's calculate GCF of 61,21,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5204780/1

Therefore the LCM of Fractions 791/61,940/21,980/398 is 5204780

Greatest Common Factor of 61,21,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,21,398 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 61,21,398 . The biggest common factor number is the GCF number.
So the greatest common factor 61,21,398 is 1.


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 791/61, 940/21, 980/398

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 791/61, 940/21, 980/398?

Answer: LCM of Numerators as per given numbers 791/61, 940/21, 980/398 is

LCM of Numerators i.e. for 791,940,980 is 5204780

GCF of denominators i.e. for 61,21,398 is 1.

Thus, LCM of Fractions is 5204780.Finally, LCM of Fractions for 791/61, 940/21, 980/398 is 5204780.