Least Common Multiple of 84/906, 758/620, 667/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/906, 758/620, 667/948 quickly i.e. 10617306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/906, 758/620, 667/948 is 10617306.

LCM(84/906, 758/620, 667/948) = 10617306

LCM of 84/906, 758/620, 667/948

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 84/906,758/620,667/948

Given numbers are 84/906,758/620,667/948

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 84,758,667

Least Common Multiple of Numerators i.e. LCM of 84,758,667 is 21234612.

GCF of Denominators means GCF of 906,620,948 as per the given fractions.

GCF of 906,620,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,758,667

LCM of Fractions 84/906,758/620,667/948 is 10617306

2 84, 758, 667
42, 379, 667

∴ So the LCM of the given numbers is 2 x 42 x 379 x 667 = 21234612

Least Common Multiple of 84,758,667 with GCF Formula

Least Common Multiple of 84,758,667 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 84,758,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,758,667) = 1

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

GCF(84,758,667) x common factors =1 x 2 = 2

LCM(84,758,667) = ( 84 × 758 × 667 ) / 2

LCM(84,758,667) = 42469224 / 2

LCM(84,758,667) = 21234612


Lets's calculate GCF of 906,620,948

2 906, 620, 948
453, 310, 474

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21234612/2

Therefore the LCM of Fractions 84/906,758/620,667/948 is 10617306

Greatest Common Factor of 906,620,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,620,948 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 906,620,948 . The biggest common factor number is the GCF number.
So the greatest common factor 906,620,948 is 2.


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 84/906, 758/620, 667/948

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 84/906, 758/620, 667/948?

Answer: LCM of Numerators as per given numbers 84/906, 758/620, 667/948 is

LCM of Numerators i.e. for 84,758,667 is 21234612

GCF of denominators i.e. for 906,620,948 is 2.

Thus, LCM of Fractions is 10617306.Finally, LCM of Fractions for 84/906, 758/620, 667/948 is 10617306.