Least Common Multiple of 967/835, 402/229, 774/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 967/835, 402/229, 774/972 quickly i.e. 50146686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/835, 402/229, 774/972 is 50146686.

LCM(967/835, 402/229, 774/972) = 50146686

LCM of 967/835, 402/229, 774/972

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 967/835,402/229,774/972

Given numbers are 967/835,402/229,774/972

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 967,402,774

Least Common Multiple of Numerators i.e. LCM of 967,402,774 is 50146686.

GCF of Denominators means GCF of 835,229,972 as per the given fractions.

GCF of 835,229,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,402,774

LCM of Fractions 967/835,402/229,774/972 is 50146686

2 967, 402, 774
3 967, 201, 387
967, 67, 129

∴ So the LCM of the given numbers is 2 x 3 x 967 x 67 x 129 = 50146686

Least Common Multiple of 967,402,774 with GCF Formula

Least Common Multiple of 967,402,774 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 967,402,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,402,774) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(967,402,774) x common factors =1 x 6 = 6

LCM(967,402,774) = ( 967 × 402 × 774 ) / 6

LCM(967,402,774) = 300880116 / 6

LCM(967,402,774) = 50146686


Lets's calculate GCF of 835,229,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50146686/1

Therefore the LCM of Fractions 967/835,402/229,774/972 is 50146686

Greatest Common Factor of 835,229,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,229,972 By Matching Biggest Common Factor Method

Factors of 835

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

1,5,167,835

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 835,229,972 . The biggest common factor number is the GCF number.
So the greatest common factor 835,229,972 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 967/835, 402/229, 774/972

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 967/835, 402/229, 774/972?

Answer: LCM of Numerators as per given numbers 967/835, 402/229, 774/972 is

LCM of Numerators i.e. for 967,402,774 is 50146686

GCF of denominators i.e. for 835,229,972 is 1.

Thus, LCM of Fractions is 50146686.Finally, LCM of Fractions for 967/835, 402/229, 774/972 is 50146686.