Least Common Multiple of 53/812, 14/654, 160/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/812, 14/654, 160/637 quickly i.e. 59360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/812, 14/654, 160/637 is 59360.

LCM(53/812, 14/654, 160/637) = 59360

LCM of 53/812, 14/654, 160/637

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 53/812,14/654,160/637

Given numbers are 53/812,14/654,160/637

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 53,14,160

Least Common Multiple of Numerators i.e. LCM of 53,14,160 is 59360.

GCF of Denominators means GCF of 812,654,637 as per the given fractions.

GCF of 812,654,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,14,160

LCM of Fractions 53/812,14/654,160/637 is 59360

2 53, 14, 160
53, 7, 80

∴ So the LCM of the given numbers is 2 x 53 x 7 x 80 = 59360

Least Common Multiple of 53,14,160 with GCF Formula

Least Common Multiple of 53,14,160 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 53,14,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,14,160) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(53,14,160) x common factors =1 x 2 = 2

LCM(53,14,160) = ( 53 × 14 × 160 ) / 2

LCM(53,14,160) = 118720 / 2

LCM(53,14,160) = 59360


Lets's calculate GCF of 812,654,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59360/1

Therefore the LCM of Fractions 53/812,14/654,160/637 is 59360

Greatest Common Factor of 812,654,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,654,637 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 812,654,637 . The biggest common factor number is the GCF number.
So the greatest common factor 812,654,637 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 53/812, 14/654, 160/637

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 53/812, 14/654, 160/637?

Answer: LCM of Numerators as per given numbers 53/812, 14/654, 160/637 is

LCM of Numerators i.e. for 53,14,160 is 59360

GCF of denominators i.e. for 812,654,637 is 1.

Thus, LCM of Fractions is 59360.Finally, LCM of Fractions for 53/812, 14/654, 160/637 is 59360.