Least Common Multiple of 75/406, 984/616, 478/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/406, 984/616, 478/696 quickly i.e. 2939700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/406, 984/616, 478/696 is 2939700.

LCM(75/406, 984/616, 478/696) = 2939700

LCM of 75/406, 984/616, 478/696

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 75/406,984/616,478/696

Given numbers are 75/406,984/616,478/696

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 75,984,478

Least Common Multiple of Numerators i.e. LCM of 75,984,478 is 5879400.

GCF of Denominators means GCF of 406,616,696 as per the given fractions.

GCF of 406,616,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,984,478

LCM of Fractions 75/406,984/616,478/696 is 2939700

2 75, 984, 478
3 75, 492, 239
25, 164, 239

∴ So the LCM of the given numbers is 2 x 3 x 25 x 164 x 239 = 5879400

Least Common Multiple of 75,984,478 with GCF Formula

Least Common Multiple of 75,984,478 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 75,984,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,984,478) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(75,984,478) x common factors =1 x 6 = 6

LCM(75,984,478) = ( 75 × 984 × 478 ) / 6

LCM(75,984,478) = 35276400 / 6

LCM(75,984,478) = 5879400


Lets's calculate GCF of 406,616,696

2 406, 616, 696
203, 308, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5879400/2

Therefore the LCM of Fractions 75/406,984/616,478/696 is 2939700

Greatest Common Factor of 406,616,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,616,696 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 406,616,696 . The biggest common factor number is the GCF number.
So the greatest common factor 406,616,696 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 75/406, 984/616, 478/696

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 75/406, 984/616, 478/696?

Answer: LCM of Numerators as per given numbers 75/406, 984/616, 478/696 is

LCM of Numerators i.e. for 75,984,478 is 5879400

GCF of denominators i.e. for 406,616,696 is 2.

Thus, LCM of Fractions is 2939700.Finally, LCM of Fractions for 75/406, 984/616, 478/696 is 2939700.