Least Common Multiple of 89/53, 864/14, 442/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/53, 864/14, 442/962 quickly i.e. 16994016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/53, 864/14, 442/962 is 16994016.

LCM(89/53, 864/14, 442/962) = 16994016

LCM of 89/53, 864/14, 442/962

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 89/53,864/14,442/962

Given numbers are 89/53,864/14,442/962

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 89,864,442

Least Common Multiple of Numerators i.e. LCM of 89,864,442 is 16994016.

GCF of Denominators means GCF of 53,14,962 as per the given fractions.

GCF of 53,14,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,864,442

LCM of Fractions 89/53,864/14,442/962 is 16994016

2 89, 864, 442
89, 432, 221

∴ So the LCM of the given numbers is 2 x 89 x 432 x 221 = 16994016

Least Common Multiple of 89,864,442 with GCF Formula

Least Common Multiple of 89,864,442 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 89,864,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,864,442) = 1

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

GCF(89,864,442) x common factors =1 x 2 = 2

LCM(89,864,442) = ( 89 × 864 × 442 ) / 2

LCM(89,864,442) = 33988032 / 2

LCM(89,864,442) = 16994016


Lets's calculate GCF of 53,14,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16994016/1

Therefore the LCM of Fractions 89/53,864/14,442/962 is 16994016

Greatest Common Factor of 53,14,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,14,962 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 53,14,962 . The biggest common factor number is the GCF number.
So the greatest common factor 53,14,962 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 89/53, 864/14, 442/962

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 89/53, 864/14, 442/962?

Answer: LCM of Numerators as per given numbers 89/53, 864/14, 442/962 is

LCM of Numerators i.e. for 89,864,442 is 16994016

GCF of denominators i.e. for 53,14,962 is 1.

Thus, LCM of Fractions is 16994016.Finally, LCM of Fractions for 89/53, 864/14, 442/962 is 16994016.