Least Common Multiple of 270/74, 466/7592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/74, 466/7592 quickly i.e. 31455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/74, 466/7592 is 31455.

LCM(270/74, 466/7592) = 31455

LCM of 270/74, 466/7592

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 270/74,466/7592

Given numbers are 270/74,466/7592

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 270,466

Least Common Multiple of Numerators i.e. LCM of 270,466 is 62910.

GCF of Denominators means GCF of 74,7592 as per the given fractions.

GCF of 74,7592 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,466

LCM of Fractions 270/74,466/7592 is 31455

2 270, 466
135, 233

∴ So the LCM of the given numbers is 2 x 135 x 233 = 62910

Least Common Multiple of 270,466 with GCF Formula

Least Common Multiple of 270,466 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 270,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,466) = 2

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

GCF(270,466) x common factors =2 x 1 = 2

LCM(270,466) = ( 270 × 466 ) / 2

LCM(270,466) = 125820 / 2

LCM(270,466) = 62910


Lets's calculate GCF of 74,7592

2 74, 7592
37, 3796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62910/2

Therefore the LCM of Fractions 270/74,466/7592 is 31455

Greatest Common Factor of 74,7592 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,7592 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 7592

List of positive integer factors of 7592 that divides 7592 without a remainder.

1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592

Greatest Common Factor

We found the factors 74,7592 . The biggest common factor number is the GCF number.
So the greatest common factor 74,7592 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 270/74, 466/7592

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 270/74, 466/7592?

Answer: LCM of Numerators as per given numbers 270/74, 466/7592 is

LCM of Numerators i.e. for 270,466 is 62910

GCF of denominators i.e. for 74,7592 is 2.

Thus, LCM of Fractions is 31455.Finally, LCM of Fractions for 270/74, 466/7592 is 31455.