Least Common Multiple of 973/45, 987/3441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 973/45, 987/3441 quickly i.e. 45731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 973/45, 987/3441 is 45731.

LCM(973/45, 987/3441) = 45731

LCM of 973/45, 987/3441

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 973/45,987/3441

Given numbers are 973/45,987/3441

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 973,987

Least Common Multiple of Numerators i.e. LCM of 973,987 is 137193.

GCF of Denominators means GCF of 45,3441 as per the given fractions.

GCF of 45,3441 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 973,987

LCM of Fractions 973/45,987/3441 is 45731

7 973, 987
139, 141

∴ So the LCM of the given numbers is 7 x 139 x 141 = 137193

Least Common Multiple of 973,987 with GCF Formula

Least Common Multiple of 973,987 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 973,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,987) = 7

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

GCF(973,987) x common factors =7 x 1 = 7

LCM(973,987) = ( 973 × 987 ) / 7

LCM(973,987) = 960351 / 7

LCM(973,987) = 137193


Lets's calculate GCF of 45,3441

3 45, 3441
15, 1147

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137193/3

Therefore the LCM of Fractions 973/45,987/3441 is 45731

Greatest Common Factor of 45,3441 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,3441 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 3441

List of positive integer factors of 3441 that divides 3441 without a remainder.

1,3,31,37,93,111,1147,3441

Greatest Common Factor

We found the factors 45,3441 . The biggest common factor number is the GCF number.
So the greatest common factor 45,3441 is 3.


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 973/45, 987/3441

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 973/45, 987/3441?

Answer: LCM of Numerators as per given numbers 973/45, 987/3441 is

LCM of Numerators i.e. for 973,987 is 137193

GCF of denominators i.e. for 45,3441 is 3.

Thus, LCM of Fractions is 45731.Finally, LCM of Fractions for 973/45, 987/3441 is 45731.