Least Common Multiple of 364/45, 761/72, 477/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/45, 761/72, 477/997 quickly i.e. 132130908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/45, 761/72, 477/997 is 132130908.

LCM(364/45, 761/72, 477/997) = 132130908

LCM of 364/45, 761/72, 477/997

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 364/45,761/72,477/997

Given numbers are 364/45,761/72,477/997

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 364,761,477

Least Common Multiple of Numerators i.e. LCM of 364,761,477 is 132130908.

GCF of Denominators means GCF of 45,72,997 as per the given fractions.

GCF of 45,72,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,761,477

LCM of Fractions 364/45,761/72,477/997 is 132130908

Given numbers has no common factors except 1. So, there LCM is their product i.e 132130908

Least Common Multiple of 364,761,477 with GCF Formula

Least Common Multiple of 364,761,477 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 364,761,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,761,477) = 1

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

GCF(364,761,477) x common factors =1 x 1 = 1

LCM(364,761,477) = ( 364 × 761 × 477 ) / 1

LCM(364,761,477) = 132130908 / 1

LCM(364,761,477) = 132130908


Lets's calculate GCF of 45,72,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132130908/1

Therefore the LCM of Fractions 364/45,761/72,477/997 is 132130908

Greatest Common Factor of 45,72,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,72,997 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 45,72,997 . The biggest common factor number is the GCF number.
So the greatest common factor 45,72,997 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 364/45, 761/72, 477/997

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 364/45, 761/72, 477/997?

Answer: LCM of Numerators as per given numbers 364/45, 761/72, 477/997 is

LCM of Numerators i.e. for 364,761,477 is 132130908

GCF of denominators i.e. for 45,72,997 is 1.

Thus, LCM of Fractions is 132130908.Finally, LCM of Fractions for 364/45, 761/72, 477/997 is 132130908.