Least Common Multiple of 84/660, 746/334, 469/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/660, 746/334, 469/118 quickly i.e. 1049622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/660, 746/334, 469/118 is 1049622.

LCM(84/660, 746/334, 469/118) = 1049622

LCM of 84/660, 746/334, 469/118

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 84/660,746/334,469/118

Given numbers are 84/660,746/334,469/118

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 84,746,469

Least Common Multiple of Numerators i.e. LCM of 84,746,469 is 2099244.

GCF of Denominators means GCF of 660,334,118 as per the given fractions.

GCF of 660,334,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,746,469

LCM of Fractions 84/660,746/334,469/118 is 1049622

2 84, 746, 469
7 42, 373, 469
6, 373, 67

∴ So the LCM of the given numbers is 2 x 7 x 6 x 373 x 67 = 2099244

Least Common Multiple of 84,746,469 with GCF Formula

Least Common Multiple of 84,746,469 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 84,746,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,746,469) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(84,746,469) x common factors =1 x 14 = 14

LCM(84,746,469) = ( 84 × 746 × 469 ) / 14

LCM(84,746,469) = 29389416 / 14

LCM(84,746,469) = 2099244


Lets's calculate GCF of 660,334,118

2 660, 334, 118
330, 167, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2099244/2

Therefore the LCM of Fractions 84/660,746/334,469/118 is 1049622

Greatest Common Factor of 660,334,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,334,118 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 660,334,118 . The biggest common factor number is the GCF number.
So the greatest common factor 660,334,118 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 84/660, 746/334, 469/118

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 84/660, 746/334, 469/118?

Answer: LCM of Numerators as per given numbers 84/660, 746/334, 469/118 is

LCM of Numerators i.e. for 84,746,469 is 2099244

GCF of denominators i.e. for 660,334,118 is 2.

Thus, LCM of Fractions is 1049622.Finally, LCM of Fractions for 84/660, 746/334, 469/118 is 1049622.