Least Common Multiple of 540/66, 145/64, 710/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/66, 145/64, 710/284 quickly i.e. 555930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/66, 145/64, 710/284 is 555930.

LCM(540/66, 145/64, 710/284) = 555930

LCM of 540/66, 145/64, 710/284

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 540/66,145/64,710/284

Given numbers are 540/66,145/64,710/284

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 540,145,710

Least Common Multiple of Numerators i.e. LCM of 540,145,710 is 1111860.

GCF of Denominators means GCF of 66,64,284 as per the given fractions.

GCF of 66,64,284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,145,710

LCM of Fractions 540/66,145/64,710/284 is 555930

2 540, 145, 710
5 270, 145, 355
54, 29, 71

∴ So the LCM of the given numbers is 2 x 5 x 54 x 29 x 71 = 1111860

Least Common Multiple of 540,145,710 with GCF Formula

Least Common Multiple of 540,145,710 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 540,145,710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,145,710) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(540,145,710) x common factors =5 x 10 = 50

LCM(540,145,710) = ( 540 × 145 × 710 ) / 50

LCM(540,145,710) = 55593000 / 50

LCM(540,145,710) = 1111860


Lets's calculate GCF of 66,64,284

2 66, 64, 284
33, 32, 142

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1111860/2

Therefore the LCM of Fractions 540/66,145/64,710/284 is 555930

Greatest Common Factor of 66,64,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,64,284 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 66,64,284 . The biggest common factor number is the GCF number.
So the greatest common factor 66,64,284 is 2.


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 540/66, 145/64, 710/284

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 540/66, 145/64, 710/284?

Answer: LCM of Numerators as per given numbers 540/66, 145/64, 710/284 is

LCM of Numerators i.e. for 540,145,710 is 1111860

GCF of denominators i.e. for 66,64,284 is 2.

Thus, LCM of Fractions is 555930.Finally, LCM of Fractions for 540/66, 145/64, 710/284 is 555930.