Least Common Multiple of 22/43, 705/21, 337/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 22/43, 705/21, 337/615 quickly i.e. 5226870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/43, 705/21, 337/615 is 5226870.

LCM(22/43, 705/21, 337/615) = 5226870

LCM of 22/43, 705/21, 337/615

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 22/43,705/21,337/615

Given numbers are 22/43,705/21,337/615

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 22,705,337

Least Common Multiple of Numerators i.e. LCM of 22,705,337 is 5226870.

GCF of Denominators means GCF of 43,21,615 as per the given fractions.

GCF of 43,21,615 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,705,337

LCM of Fractions 22/43,705/21,337/615 is 5226870

Given numbers has no common factors except 1. So, there LCM is their product i.e 5226870

Least Common Multiple of 22,705,337 with GCF Formula

Least Common Multiple of 22,705,337 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 22,705,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,705,337) = 1

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

GCF(22,705,337) x common factors =1 x 1 = 1

LCM(22,705,337) = ( 22 × 705 × 337 ) / 1

LCM(22,705,337) = 5226870 / 1

LCM(22,705,337) = 5226870


Lets's calculate GCF of 43,21,615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5226870/1

Therefore the LCM of Fractions 22/43,705/21,337/615 is 5226870

Greatest Common Factor of 43,21,615 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,21,615 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors 43,21,615 . The biggest common factor number is the GCF number.
So the greatest common factor 43,21,615 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 22/43, 705/21, 337/615

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 22/43, 705/21, 337/615?

Answer: LCM of Numerators as per given numbers 22/43, 705/21, 337/615 is

LCM of Numerators i.e. for 22,705,337 is 5226870

GCF of denominators i.e. for 43,21,615 is 1.

Thus, LCM of Fractions is 5226870.Finally, LCM of Fractions for 22/43, 705/21, 337/615 is 5226870.