Least Common Multiple of 400/42, 792/89, 647/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/42, 792/89, 647/496 quickly i.e. 25621200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/42, 792/89, 647/496 is 25621200.

LCM(400/42, 792/89, 647/496) = 25621200

LCM of 400/42, 792/89, 647/496

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 400/42,792/89,647/496

Given numbers are 400/42,792/89,647/496

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 400,792,647

Least Common Multiple of Numerators i.e. LCM of 400,792,647 is 25621200.

GCF of Denominators means GCF of 42,89,496 as per the given fractions.

GCF of 42,89,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,792,647

LCM of Fractions 400/42,792/89,647/496 is 25621200

2 400, 792, 647
2 200, 396, 647
2 100, 198, 647
50, 99, 647

∴ So the LCM of the given numbers is 2 x 2 x 2 x 50 x 99 x 647 = 25621200

Least Common Multiple of 400,792,647 with GCF Formula

Least Common Multiple of 400,792,647 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 400,792,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,792,647) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(400,792,647) x common factors =1 x 8 = 8

LCM(400,792,647) = ( 400 × 792 × 647 ) / 8

LCM(400,792,647) = 204969600 / 8

LCM(400,792,647) = 25621200


Lets's calculate GCF of 42,89,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25621200/1

Therefore the LCM of Fractions 400/42,792/89,647/496 is 25621200

Greatest Common Factor of 42,89,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,89,496 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 42,89,496 . The biggest common factor number is the GCF number.
So the greatest common factor 42,89,496 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 400/42, 792/89, 647/496

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 400/42, 792/89, 647/496?

Answer: LCM of Numerators as per given numbers 400/42, 792/89, 647/496 is

LCM of Numerators i.e. for 400,792,647 is 25621200

GCF of denominators i.e. for 42,89,496 is 1.

Thus, LCM of Fractions is 25621200.Finally, LCM of Fractions for 400/42, 792/89, 647/496 is 25621200.