Least Common Multiple of 84/956, 740/404, 558/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/956, 740/404, 558/936 quickly i.e. 361305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/956, 740/404, 558/936 is 361305.

LCM(84/956, 740/404, 558/936) = 361305

LCM of 84/956, 740/404, 558/936

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 84/956,740/404,558/936

Given numbers are 84/956,740/404,558/936

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 84,740,558

Least Common Multiple of Numerators i.e. LCM of 84,740,558 is 1445220.

GCF of Denominators means GCF of 956,404,936 as per the given fractions.

GCF of 956,404,936 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,740,558

LCM of Fractions 84/956,740/404,558/936 is 361305

2 84, 740, 558
2 42, 370, 279
3 21, 185, 279
7, 185, 93

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 185 x 93 = 1445220

Least Common Multiple of 84,740,558 with GCF Formula

Least Common Multiple of 84,740,558 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 84,740,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,740,558) = 2

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

GCF(84,740,558) x common factors =2 x 12 = 24

LCM(84,740,558) = ( 84 × 740 × 558 ) / 24

LCM(84,740,558) = 34685280 / 24

LCM(84,740,558) = 1445220


Lets's calculate GCF of 956,404,936

2 956, 404, 936
2 478, 202, 468
239, 101, 234

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1445220/4

Therefore the LCM of Fractions 84/956,740/404,558/936 is 361305

Greatest Common Factor of 956,404,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,404,936 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 956,404,936 . The biggest common factor number is the GCF number.
So the greatest common factor 956,404,936 is 4.


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 84/956, 740/404, 558/936

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 84/956, 740/404, 558/936?

Answer: LCM of Numerators as per given numbers 84/956, 740/404, 558/936 is

LCM of Numerators i.e. for 84,740,558 is 1445220

GCF of denominators i.e. for 956,404,936 is 4.

Thus, LCM of Fractions is 361305.Finally, LCM of Fractions for 84/956, 740/404, 558/936 is 361305.