Least Common Multiple of 414/31, 751/28, 540/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/31, 751/28, 540/333 quickly i.e. 9327420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/31, 751/28, 540/333 is 9327420.

LCM(414/31, 751/28, 540/333) = 9327420

LCM of 414/31, 751/28, 540/333

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 414/31,751/28,540/333

Given numbers are 414/31,751/28,540/333

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 414,751,540

Least Common Multiple of Numerators i.e. LCM of 414,751,540 is 9327420.

GCF of Denominators means GCF of 31,28,333 as per the given fractions.

GCF of 31,28,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,751,540

LCM of Fractions 414/31,751/28,540/333 is 9327420

2 414, 751, 540
3 207, 751, 270
3 69, 751, 90
23, 751, 30

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 751 x 30 = 9327420

Least Common Multiple of 414,751,540 with GCF Formula

Least Common Multiple of 414,751,540 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 414,751,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,751,540) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(414,751,540) x common factors =1 x 18 = 18

LCM(414,751,540) = ( 414 × 751 × 540 ) / 18

LCM(414,751,540) = 167893560 / 18

LCM(414,751,540) = 9327420


Lets's calculate GCF of 31,28,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9327420/1

Therefore the LCM of Fractions 414/31,751/28,540/333 is 9327420

Greatest Common Factor of 31,28,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,28,333 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 31,28,333 . The biggest common factor number is the GCF number.
So the greatest common factor 31,28,333 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 414/31, 751/28, 540/333

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 414/31, 751/28, 540/333?

Answer: LCM of Numerators as per given numbers 414/31, 751/28, 540/333 is

LCM of Numerators i.e. for 414,751,540 is 9327420

GCF of denominators i.e. for 31,28,333 is 1.

Thus, LCM of Fractions is 9327420.Finally, LCM of Fractions for 414/31, 751/28, 540/333 is 9327420.