Least Common Multiple of 121/93, 460/13, 772/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 121/93, 460/13, 772/982 quickly i.e. 10742380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 121/93, 460/13, 772/982 is 10742380.

LCM(121/93, 460/13, 772/982) = 10742380

LCM of 121/93, 460/13, 772/982

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 121/93,460/13,772/982

Given numbers are 121/93,460/13,772/982

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 121,460,772

Least Common Multiple of Numerators i.e. LCM of 121,460,772 is 10742380.

GCF of Denominators means GCF of 93,13,982 as per the given fractions.

GCF of 93,13,982 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 121,460,772

LCM of Fractions 121/93,460/13,772/982 is 10742380

2 121, 460, 772
2 121, 230, 386
121, 115, 193

∴ So the LCM of the given numbers is 2 x 2 x 121 x 115 x 193 = 10742380

Least Common Multiple of 121,460,772 with GCF Formula

Least Common Multiple of 121,460,772 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 121,460,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,460,772) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(121,460,772) x common factors =1 x 4 = 4

LCM(121,460,772) = ( 121 × 460 × 772 ) / 4

LCM(121,460,772) = 42969520 / 4

LCM(121,460,772) = 10742380


Lets's calculate GCF of 93,13,982

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10742380/1

Therefore the LCM of Fractions 121/93,460/13,772/982 is 10742380

Greatest Common Factor of 93,13,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,13,982 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 93,13,982 . The biggest common factor number is the GCF number.
So the greatest common factor 93,13,982 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 121/93, 460/13, 772/982

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 121/93, 460/13, 772/982?

Answer: LCM of Numerators as per given numbers 121/93, 460/13, 772/982 is

LCM of Numerators i.e. for 121,460,772 is 10742380

GCF of denominators i.e. for 93,13,982 is 1.

Thus, LCM of Fractions is 10742380.Finally, LCM of Fractions for 121/93, 460/13, 772/982 is 10742380.