Least Common Multiple of 84/749, 167/487, 996/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/749, 167/487, 996/966 quickly i.e. 1164324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/749, 167/487, 996/966 is 1164324.

LCM(84/749, 167/487, 996/966) = 1164324

LCM of 84/749, 167/487, 996/966

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 84/749,167/487,996/966

Given numbers are 84/749,167/487,996/966

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 84,167,996

Least Common Multiple of Numerators i.e. LCM of 84,167,996 is 1164324.

GCF of Denominators means GCF of 749,487,966 as per the given fractions.

GCF of 749,487,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,167,996

LCM of Fractions 84/749,167/487,996/966 is 1164324

2 84, 167, 996
2 42, 167, 498
3 21, 167, 249
7, 167, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 167 x 83 = 1164324

Least Common Multiple of 84,167,996 with GCF Formula

Least Common Multiple of 84,167,996 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 84,167,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,167,996) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,167,996) x common factors =1 x 12 = 12

LCM(84,167,996) = ( 84 × 167 × 996 ) / 12

LCM(84,167,996) = 13971888 / 12

LCM(84,167,996) = 1164324


Lets's calculate GCF of 749,487,966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1164324/1

Therefore the LCM of Fractions 84/749,167/487,996/966 is 1164324

Greatest Common Factor of 749,487,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,487,966 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 749,487,966 . The biggest common factor number is the GCF number.
So the greatest common factor 749,487,966 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 84/749, 167/487, 996/966

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 84/749, 167/487, 996/966?

Answer: LCM of Numerators as per given numbers 84/749, 167/487, 996/966 is

LCM of Numerators i.e. for 84,167,996 is 1164324

GCF of denominators i.e. for 749,487,966 is 1.

Thus, LCM of Fractions is 1164324.Finally, LCM of Fractions for 84/749, 167/487, 996/966 is 1164324.