Least Common Multiple of 71/768, 84/126, 341/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/768, 84/126, 341/495 quickly i.e. 677908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/768, 84/126, 341/495 is 677908.

LCM(71/768, 84/126, 341/495) = 677908

LCM of 71/768, 84/126, 341/495

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 71/768,84/126,341/495

Given numbers are 71/768,84/126,341/495

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 71,84,341

Least Common Multiple of Numerators i.e. LCM of 71,84,341 is 2033724.

GCF of Denominators means GCF of 768,126,495 as per the given fractions.

GCF of 768,126,495 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,84,341

LCM of Fractions 71/768,84/126,341/495 is 677908

Given numbers has no common factors except 1. So, there LCM is their product i.e 2033724

Least Common Multiple of 71,84,341 with GCF Formula

Least Common Multiple of 71,84,341 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 71,84,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,84,341) = 1

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

GCF(71,84,341) x common factors =1 x 1 = 1

LCM(71,84,341) = ( 71 × 84 × 341 ) / 1

LCM(71,84,341) = 2033724 / 1

LCM(71,84,341) = 2033724


Lets's calculate GCF of 768,126,495

3 768, 126, 495
256, 42, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2033724/3

Therefore the LCM of Fractions 71/768,84/126,341/495 is 677908

Greatest Common Factor of 768,126,495 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,126,495 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Greatest Common Factor

We found the factors 768,126,495 . The biggest common factor number is the GCF number.
So the greatest common factor 768,126,495 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 71/768, 84/126, 341/495

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 71/768, 84/126, 341/495?

Answer: LCM of Numerators as per given numbers 71/768, 84/126, 341/495 is

LCM of Numerators i.e. for 71,84,341 is 2033724

GCF of denominators i.e. for 768,126,495 is 3.

Thus, LCM of Fractions is 677908.Finally, LCM of Fractions for 71/768, 84/126, 341/495 is 677908.