Least Common Multiple of 52/38, 35/74, 211/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/38, 35/74, 211/845 quickly i.e. 384020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/38, 35/74, 211/845 is 384020.

LCM(52/38, 35/74, 211/845) = 384020

LCM of 52/38, 35/74, 211/845

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 52/38,35/74,211/845

Given numbers are 52/38,35/74,211/845

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 52,35,211

Least Common Multiple of Numerators i.e. LCM of 52,35,211 is 384020.

GCF of Denominators means GCF of 38,74,845 as per the given fractions.

GCF of 38,74,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,35,211

LCM of Fractions 52/38,35/74,211/845 is 384020

Given numbers has no common factors except 1. So, there LCM is their product i.e 384020

Least Common Multiple of 52,35,211 with GCF Formula

Least Common Multiple of 52,35,211 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 52,35,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,35,211) = 1

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

GCF(52,35,211) x common factors =1 x 1 = 1

LCM(52,35,211) = ( 52 × 35 × 211 ) / 1

LCM(52,35,211) = 384020 / 1

LCM(52,35,211) = 384020


Lets's calculate GCF of 38,74,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384020/1

Therefore the LCM of Fractions 52/38,35/74,211/845 is 384020

Greatest Common Factor of 38,74,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,74,845 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 74

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

1,2,37,74

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 38,74,845 . The biggest common factor number is the GCF number.
So the greatest common factor 38,74,845 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 52/38, 35/74, 211/845

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 52/38, 35/74, 211/845?

Answer: LCM of Numerators as per given numbers 52/38, 35/74, 211/845 is

LCM of Numerators i.e. for 52,35,211 is 384020

GCF of denominators i.e. for 38,74,845 is 1.

Thus, LCM of Fractions is 384020.Finally, LCM of Fractions for 52/38, 35/74, 211/845 is 384020.