Least Common Multiple of 52/35, 891/67, 721/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/35, 891/67, 721/423 quickly i.e. 33405372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/35, 891/67, 721/423 is 33405372.

LCM(52/35, 891/67, 721/423) = 33405372

LCM of 52/35, 891/67, 721/423

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 52/35,891/67,721/423

Given numbers are 52/35,891/67,721/423

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 52,891,721

Least Common Multiple of Numerators i.e. LCM of 52,891,721 is 33405372.

GCF of Denominators means GCF of 35,67,423 as per the given fractions.

GCF of 35,67,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,891,721

LCM of Fractions 52/35,891/67,721/423 is 33405372

Given numbers has no common factors except 1. So, there LCM is their product i.e 33405372

Least Common Multiple of 52,891,721 with GCF Formula

Least Common Multiple of 52,891,721 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 52,891,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,891,721) = 1

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

GCF(52,891,721) x common factors =1 x 1 = 1

LCM(52,891,721) = ( 52 × 891 × 721 ) / 1

LCM(52,891,721) = 33405372 / 1

LCM(52,891,721) = 33405372


Lets's calculate GCF of 35,67,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33405372/1

Therefore the LCM of Fractions 52/35,891/67,721/423 is 33405372

Greatest Common Factor of 35,67,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,67,423 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 35,67,423 . The biggest common factor number is the GCF number.
So the greatest common factor 35,67,423 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/35, 891/67, 721/423

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 52/35, 891/67, 721/423?

Answer: LCM of Numerators as per given numbers 52/35, 891/67, 721/423 is

LCM of Numerators i.e. for 52,891,721 is 33405372

GCF of denominators i.e. for 35,67,423 is 1.

Thus, LCM of Fractions is 33405372.Finally, LCM of Fractions for 52/35, 891/67, 721/423 is 33405372.