Least Common Multiple of 51/664, 65/541, 340/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/664, 65/541, 340/132 quickly i.e. 13260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/664, 65/541, 340/132 is 13260.

LCM(51/664, 65/541, 340/132) = 13260

LCM of 51/664, 65/541, 340/132

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 51/664,65/541,340/132

Given numbers are 51/664,65/541,340/132

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 51,65,340

Least Common Multiple of Numerators i.e. LCM of 51,65,340 is 13260.

GCF of Denominators means GCF of 664,541,132 as per the given fractions.

GCF of 664,541,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,65,340

LCM of Fractions 51/664,65/541,340/132 is 13260

5 51, 65, 340
17 51, 13, 68
3, 13, 4

∴ So the LCM of the given numbers is 5 x 17 x 3 x 13 x 4 = 13260

Least Common Multiple of 51,65,340 with GCF Formula

Least Common Multiple of 51,65,340 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 51,65,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,65,340) = 1

common factors(in case of two or more numbers have common factors) = 85

GCF(51,65,340) x common factors =1 x 85 = 85

LCM(51,65,340) = ( 51 × 65 × 340 ) / 85

LCM(51,65,340) = 1127100 / 85

LCM(51,65,340) = 13260


Lets's calculate GCF of 664,541,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13260/1

Therefore the LCM of Fractions 51/664,65/541,340/132 is 13260

Greatest Common Factor of 664,541,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,541,132 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 664,541,132 . The biggest common factor number is the GCF number.
So the greatest common factor 664,541,132 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 51/664, 65/541, 340/132

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 51/664, 65/541, 340/132?

Answer: LCM of Numerators as per given numbers 51/664, 65/541, 340/132 is

LCM of Numerators i.e. for 51,65,340 is 13260

GCF of denominators i.e. for 664,541,132 is 1.

Thus, LCM of Fractions is 13260.Finally, LCM of Fractions for 51/664, 65/541, 340/132 is 13260.