Least Common Multiple of 22/74, 539/13, 770/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/74, 539/13, 770/270 quickly i.e. 5390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/74, 539/13, 770/270 is 5390.

LCM(22/74, 539/13, 770/270) = 5390

LCM of 22/74, 539/13, 770/270

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 22/74,539/13,770/270

Given numbers are 22/74,539/13,770/270

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 22,539,770

Least Common Multiple of Numerators i.e. LCM of 22,539,770 is 5390.

GCF of Denominators means GCF of 74,13,270 as per the given fractions.

GCF of 74,13,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,539,770

LCM of Fractions 22/74,539/13,770/270 is 5390

2 22, 539, 770
7 11, 539, 385
11 11, 77, 55
1, 7, 5

∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 7 x 5 = 5390

Least Common Multiple of 22,539,770 with GCF Formula

Least Common Multiple of 22,539,770 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 22,539,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,539,770) = 11

common factors(in case of two or more numbers have common factors) = 154

GCF(22,539,770) x common factors =11 x 154 = 1694

LCM(22,539,770) = ( 22 × 539 × 770 ) / 1694

LCM(22,539,770) = 9130660 / 1694

LCM(22,539,770) = 5390


Lets's calculate GCF of 74,13,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5390/1

Therefore the LCM of Fractions 22/74,539/13,770/270 is 5390

Greatest Common Factor of 74,13,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,13,270 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 74,13,270 . The biggest common factor number is the GCF number.
So the greatest common factor 74,13,270 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 22/74, 539/13, 770/270

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 22/74, 539/13, 770/270?

Answer: LCM of Numerators as per given numbers 22/74, 539/13, 770/270 is

LCM of Numerators i.e. for 22,539,770 is 5390

GCF of denominators i.e. for 74,13,270 is 1.

Thus, LCM of Fractions is 5390.Finally, LCM of Fractions for 22/74, 539/13, 770/270 is 5390.