Least Common Multiple of 973/53, 677/13, 163/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/53, 677/13, 163/969 quickly i.e. 107371523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/53, 677/13, 163/969 is 107371523.

LCM(973/53, 677/13, 163/969) = 107371523

LCM of 973/53, 677/13, 163/969

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 973/53,677/13,163/969

Given numbers are 973/53,677/13,163/969

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 973,677,163

Least Common Multiple of Numerators i.e. LCM of 973,677,163 is 107371523.

GCF of Denominators means GCF of 53,13,969 as per the given fractions.

GCF of 53,13,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,677,163

LCM of Fractions 973/53,677/13,163/969 is 107371523

Given numbers has no common factors except 1. So, there LCM is their product i.e 107371523

Least Common Multiple of 973,677,163 with GCF Formula

Least Common Multiple of 973,677,163 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 973,677,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,677,163) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(973,677,163) x common factors =1 x 1 = 1

LCM(973,677,163) = ( 973 × 677 × 163 ) / 1

LCM(973,677,163) = 107371523 / 1

LCM(973,677,163) = 107371523


Lets's calculate GCF of 53,13,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107371523/1

Therefore the LCM of Fractions 973/53,677/13,163/969 is 107371523

Greatest Common Factor of 53,13,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,13,969 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 53,13,969 . The biggest common factor number is the GCF number.
So the greatest common factor 53,13,969 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 973/53, 677/13, 163/969

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 973/53, 677/13, 163/969?

Answer: LCM of Numerators as per given numbers 973/53, 677/13, 163/969 is

LCM of Numerators i.e. for 973,677,163 is 107371523

GCF of denominators i.e. for 53,13,969 is 1.

Thus, LCM of Fractions is 107371523.Finally, LCM of Fractions for 973/53, 677/13, 163/969 is 107371523.