Least Common Multiple of 53/168, 966/647, 616/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/168, 966/647, 616/456 quickly i.e. 2252712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/168, 966/647, 616/456 is 2252712.

LCM(53/168, 966/647, 616/456) = 2252712

LCM of 53/168, 966/647, 616/456

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 53/168,966/647,616/456

Given numbers are 53/168,966/647,616/456

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 53,966,616

Least Common Multiple of Numerators i.e. LCM of 53,966,616 is 2252712.

GCF of Denominators means GCF of 168,647,456 as per the given fractions.

GCF of 168,647,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,966,616

LCM of Fractions 53/168,966/647,616/456 is 2252712

2 53, 966, 616
7 53, 483, 308
53, 69, 44

∴ So the LCM of the given numbers is 2 x 7 x 53 x 69 x 44 = 2252712

Least Common Multiple of 53,966,616 with GCF Formula

Least Common Multiple of 53,966,616 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 53,966,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,966,616) = 1

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

GCF(53,966,616) x common factors =1 x 14 = 14

LCM(53,966,616) = ( 53 × 966 × 616 ) / 14

LCM(53,966,616) = 31537968 / 14

LCM(53,966,616) = 2252712


Lets's calculate GCF of 168,647,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2252712/1

Therefore the LCM of Fractions 53/168,966/647,616/456 is 2252712

Greatest Common Factor of 168,647,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,647,456 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 168,647,456 . The biggest common factor number is the GCF number.
So the greatest common factor 168,647,456 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 53/168, 966/647, 616/456

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 53/168, 966/647, 616/456?

Answer: LCM of Numerators as per given numbers 53/168, 966/647, 616/456 is

LCM of Numerators i.e. for 53,966,616 is 2252712

GCF of denominators i.e. for 168,647,456 is 1.

Thus, LCM of Fractions is 2252712.Finally, LCM of Fractions for 53/168, 966/647, 616/456 is 2252712.