Least Common Multiple of 337/21, 178/47, 158/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 337/21, 178/47, 158/626 quickly i.e. 4738894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 337/21, 178/47, 158/626 is 4738894.

LCM(337/21, 178/47, 158/626) = 4738894

LCM of 337/21, 178/47, 158/626

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 337/21,178/47,158/626

Given numbers are 337/21,178/47,158/626

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 337,178,158

Least Common Multiple of Numerators i.e. LCM of 337,178,158 is 4738894.

GCF of Denominators means GCF of 21,47,626 as per the given fractions.

GCF of 21,47,626 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 337,178,158

LCM of Fractions 337/21,178/47,158/626 is 4738894

2 337, 178, 158
337, 89, 79

∴ So the LCM of the given numbers is 2 x 337 x 89 x 79 = 4738894

Least Common Multiple of 337,178,158 with GCF Formula

Least Common Multiple of 337,178,158 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 337,178,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,178,158) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(337,178,158) x common factors =1 x 2 = 2

LCM(337,178,158) = ( 337 × 178 × 158 ) / 2

LCM(337,178,158) = 9477788 / 2

LCM(337,178,158) = 4738894


Lets's calculate GCF of 21,47,626

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4738894/1

Therefore the LCM of Fractions 337/21,178/47,158/626 is 4738894

Greatest Common Factor of 21,47,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,47,626 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 21,47,626 . The biggest common factor number is the GCF number.
So the greatest common factor 21,47,626 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 337/21, 178/47, 158/626

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 337/21, 178/47, 158/626?

Answer: LCM of Numerators as per given numbers 337/21, 178/47, 158/626 is

LCM of Numerators i.e. for 337,178,158 is 4738894

GCF of denominators i.e. for 21,47,626 is 1.

Thus, LCM of Fractions is 4738894.Finally, LCM of Fractions for 337/21, 178/47, 158/626 is 4738894.