Least Common Multiple of 71/63, 45/36, 977/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/63, 45/36, 977/732 quickly i.e. 1040505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/63, 45/36, 977/732 is 1040505.

LCM(71/63, 45/36, 977/732) = 1040505

LCM of 71/63, 45/36, 977/732

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 71/63,45/36,977/732

Given numbers are 71/63,45/36,977/732

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 71,45,977

Least Common Multiple of Numerators i.e. LCM of 71,45,977 is 3121515.

GCF of Denominators means GCF of 63,36,732 as per the given fractions.

GCF of 63,36,732 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,45,977

LCM of Fractions 71/63,45/36,977/732 is 1040505

Given numbers has no common factors except 1. So, there LCM is their product i.e 3121515

Least Common Multiple of 71,45,977 with GCF Formula

Least Common Multiple of 71,45,977 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 71,45,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,45,977) = 1

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

GCF(71,45,977) x common factors =1 x 1 = 1

LCM(71,45,977) = ( 71 × 45 × 977 ) / 1

LCM(71,45,977) = 3121515 / 1

LCM(71,45,977) = 3121515


Lets's calculate GCF of 63,36,732

3 63, 36, 732
21, 12, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3121515/3

Therefore the LCM of Fractions 71/63,45/36,977/732 is 1040505

Greatest Common Factor of 63,36,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,36,732 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 63,36,732 . The biggest common factor number is the GCF number.
So the greatest common factor 63,36,732 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 71/63, 45/36, 977/732

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 71/63, 45/36, 977/732?

Answer: LCM of Numerators as per given numbers 71/63, 45/36, 977/732 is

LCM of Numerators i.e. for 71,45,977 is 3121515

GCF of denominators i.e. for 63,36,732 is 3.

Thus, LCM of Fractions is 1040505.Finally, LCM of Fractions for 71/63, 45/36, 977/732 is 1040505.