Least Common Multiple of 84/75, 352/51, 840/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/75, 352/51, 840/418 quickly i.e. 36960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/75, 352/51, 840/418 is 36960.

LCM(84/75, 352/51, 840/418) = 36960

LCM of 84/75, 352/51, 840/418

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 84/75,352/51,840/418

Given numbers are 84/75,352/51,840/418

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 84,352,840

Least Common Multiple of Numerators i.e. LCM of 84,352,840 is 36960.

GCF of Denominators means GCF of 75,51,418 as per the given fractions.

GCF of 75,51,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,352,840

LCM of Fractions 84/75,352/51,840/418 is 36960

2 84, 352, 840
2 42, 176, 420
2 21, 88, 210
3 21, 44, 105
7 7, 44, 35
1, 44, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 44 x 5 = 36960

Least Common Multiple of 84,352,840 with GCF Formula

Least Common Multiple of 84,352,840 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 84,352,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,352,840) = 4

common factors(in case of two or more numbers have common factors) = 168

GCF(84,352,840) x common factors =4 x 168 = 672

LCM(84,352,840) = ( 84 × 352 × 840 ) / 672

LCM(84,352,840) = 24837120 / 672

LCM(84,352,840) = 36960


Lets's calculate GCF of 75,51,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36960/1

Therefore the LCM of Fractions 84/75,352/51,840/418 is 36960

Greatest Common Factor of 75,51,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,51,418 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 75,51,418 . The biggest common factor number is the GCF number.
So the greatest common factor 75,51,418 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 84/75, 352/51, 840/418

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 84/75, 352/51, 840/418?

Answer: LCM of Numerators as per given numbers 84/75, 352/51, 840/418 is

LCM of Numerators i.e. for 84,352,840 is 36960

GCF of denominators i.e. for 75,51,418 is 1.

Thus, LCM of Fractions is 36960.Finally, LCM of Fractions for 84/75, 352/51, 840/418 is 36960.