Least Common Multiple of 264/52, 243/19, 930/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/52, 243/19, 930/742 quickly i.e. 3314520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/52, 243/19, 930/742 is 3314520.

LCM(264/52, 243/19, 930/742) = 3314520

LCM of 264/52, 243/19, 930/742

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 264/52,243/19,930/742

Given numbers are 264/52,243/19,930/742

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 264,243,930

Least Common Multiple of Numerators i.e. LCM of 264,243,930 is 3314520.

GCF of Denominators means GCF of 52,19,742 as per the given fractions.

GCF of 52,19,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,243,930

LCM of Fractions 264/52,243/19,930/742 is 3314520

2 264, 243, 930
3 132, 243, 465
44, 81, 155

∴ So the LCM of the given numbers is 2 x 3 x 44 x 81 x 155 = 3314520

Least Common Multiple of 264,243,930 with GCF Formula

Least Common Multiple of 264,243,930 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 264,243,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,243,930) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(264,243,930) x common factors =3 x 6 = 18

LCM(264,243,930) = ( 264 × 243 × 930 ) / 18

LCM(264,243,930) = 59661360 / 18

LCM(264,243,930) = 3314520


Lets's calculate GCF of 52,19,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3314520/1

Therefore the LCM of Fractions 264/52,243/19,930/742 is 3314520

Greatest Common Factor of 52,19,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,19,742 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 52,19,742 . The biggest common factor number is the GCF number.
So the greatest common factor 52,19,742 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 264/52, 243/19, 930/742

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 264/52, 243/19, 930/742?

Answer: LCM of Numerators as per given numbers 264/52, 243/19, 930/742 is

LCM of Numerators i.e. for 264,243,930 is 3314520

GCF of denominators i.e. for 52,19,742 is 1.

Thus, LCM of Fractions is 3314520.Finally, LCM of Fractions for 264/52, 243/19, 930/742 is 3314520.