Least Common Multiple of 74/121, 12/835, 953/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/121, 12/835, 953/958 quickly i.e. 423132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/121, 12/835, 953/958 is 423132.

LCM(74/121, 12/835, 953/958) = 423132

LCM of 74/121, 12/835, 953/958

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 74/121,12/835,953/958

Given numbers are 74/121,12/835,953/958

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 74,12,953

Least Common Multiple of Numerators i.e. LCM of 74,12,953 is 423132.

GCF of Denominators means GCF of 121,835,958 as per the given fractions.

GCF of 121,835,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,12,953

LCM of Fractions 74/121,12/835,953/958 is 423132

2 74, 12, 953
37, 6, 953

∴ So the LCM of the given numbers is 2 x 37 x 6 x 953 = 423132

Least Common Multiple of 74,12,953 with GCF Formula

Least Common Multiple of 74,12,953 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 74,12,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,12,953) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,12,953) x common factors =1 x 2 = 2

LCM(74,12,953) = ( 74 × 12 × 953 ) / 2

LCM(74,12,953) = 846264 / 2

LCM(74,12,953) = 423132


Lets's calculate GCF of 121,835,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423132/1

Therefore the LCM of Fractions 74/121,12/835,953/958 is 423132

Greatest Common Factor of 121,835,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,835,958 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 121,835,958 . The biggest common factor number is the GCF number.
So the greatest common factor 121,835,958 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 74/121, 12/835, 953/958

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 74/121, 12/835, 953/958?

Answer: LCM of Numerators as per given numbers 74/121, 12/835, 953/958 is

LCM of Numerators i.e. for 74,12,953 is 423132

GCF of denominators i.e. for 121,835,958 is 1.

Thus, LCM of Fractions is 423132.Finally, LCM of Fractions for 74/121, 12/835, 953/958 is 423132.