Least Common Multiple of 76/415, 467/46, 365/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/415, 467/46, 365/747 quickly i.e. 12954580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/415, 467/46, 365/747 is 12954580.

LCM(76/415, 467/46, 365/747) = 12954580

LCM of 76/415, 467/46, 365/747

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 76/415,467/46,365/747

Given numbers are 76/415,467/46,365/747

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 76,467,365

Least Common Multiple of Numerators i.e. LCM of 76,467,365 is 12954580.

GCF of Denominators means GCF of 415,46,747 as per the given fractions.

GCF of 415,46,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,467,365

LCM of Fractions 76/415,467/46,365/747 is 12954580

Given numbers has no common factors except 1. So, there LCM is their product i.e 12954580

Least Common Multiple of 76,467,365 with GCF Formula

Least Common Multiple of 76,467,365 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 76,467,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,467,365) = 1

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

GCF(76,467,365) x common factors =1 x 1 = 1

LCM(76,467,365) = ( 76 × 467 × 365 ) / 1

LCM(76,467,365) = 12954580 / 1

LCM(76,467,365) = 12954580


Lets's calculate GCF of 415,46,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12954580/1

Therefore the LCM of Fractions 76/415,467/46,365/747 is 12954580

Greatest Common Factor of 415,46,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,46,747 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 415,46,747 . The biggest common factor number is the GCF number.
So the greatest common factor 415,46,747 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 76/415, 467/46, 365/747

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 76/415, 467/46, 365/747?

Answer: LCM of Numerators as per given numbers 76/415, 467/46, 365/747 is

LCM of Numerators i.e. for 76,467,365 is 12954580

GCF of denominators i.e. for 415,46,747 is 1.

Thus, LCM of Fractions is 12954580.Finally, LCM of Fractions for 76/415, 467/46, 365/747 is 12954580.