Least Common Multiple of 214/342, 594/157, 679/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/342, 594/157, 679/432 quickly i.e. 43155882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/342, 594/157, 679/432 is 43155882.

LCM(214/342, 594/157, 679/432) = 43155882

LCM of 214/342, 594/157, 679/432

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 214/342,594/157,679/432

Given numbers are 214/342,594/157,679/432

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 214,594,679

Least Common Multiple of Numerators i.e. LCM of 214,594,679 is 43155882.

GCF of Denominators means GCF of 342,157,432 as per the given fractions.

GCF of 342,157,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,594,679

LCM of Fractions 214/342,594/157,679/432 is 43155882

2 214, 594, 679
107, 297, 679

∴ So the LCM of the given numbers is 2 x 107 x 297 x 679 = 43155882

Least Common Multiple of 214,594,679 with GCF Formula

Least Common Multiple of 214,594,679 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 214,594,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,594,679) = 1

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

GCF(214,594,679) x common factors =1 x 2 = 2

LCM(214,594,679) = ( 214 × 594 × 679 ) / 2

LCM(214,594,679) = 86311764 / 2

LCM(214,594,679) = 43155882


Lets's calculate GCF of 342,157,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43155882/1

Therefore the LCM of Fractions 214/342,594/157,679/432 is 43155882

Greatest Common Factor of 342,157,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,157,432 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 342,157,432 . The biggest common factor number is the GCF number.
So the greatest common factor 342,157,432 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 214/342, 594/157, 679/432

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 214/342, 594/157, 679/432?

Answer: LCM of Numerators as per given numbers 214/342, 594/157, 679/432 is

LCM of Numerators i.e. for 214,594,679 is 43155882

GCF of denominators i.e. for 342,157,432 is 1.

Thus, LCM of Fractions is 43155882.Finally, LCM of Fractions for 214/342, 594/157, 679/432 is 43155882.