Least Common Multiple of 42/744, 17/214, 517/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/744, 17/214, 517/175 quickly i.e. 369138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/744, 17/214, 517/175 is 369138.

LCM(42/744, 17/214, 517/175) = 369138

LCM of 42/744, 17/214, 517/175

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 42/744,17/214,517/175

Given numbers are 42/744,17/214,517/175

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 42,17,517

Least Common Multiple of Numerators i.e. LCM of 42,17,517 is 369138.

GCF of Denominators means GCF of 744,214,175 as per the given fractions.

GCF of 744,214,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,17,517

LCM of Fractions 42/744,17/214,517/175 is 369138

Given numbers has no common factors except 1. So, there LCM is their product i.e 369138

Least Common Multiple of 42,17,517 with GCF Formula

Least Common Multiple of 42,17,517 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 42,17,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,17,517) = 1

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

GCF(42,17,517) x common factors =1 x 1 = 1

LCM(42,17,517) = ( 42 × 17 × 517 ) / 1

LCM(42,17,517) = 369138 / 1

LCM(42,17,517) = 369138


Lets's calculate GCF of 744,214,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369138/1

Therefore the LCM of Fractions 42/744,17/214,517/175 is 369138

Greatest Common Factor of 744,214,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,214,175 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 744,214,175 . The biggest common factor number is the GCF number.
So the greatest common factor 744,214,175 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 42/744, 17/214, 517/175

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 42/744, 17/214, 517/175?

Answer: LCM of Numerators as per given numbers 42/744, 17/214, 517/175 is

LCM of Numerators i.e. for 42,17,517 is 369138

GCF of denominators i.e. for 744,214,175 is 1.

Thus, LCM of Fractions is 369138.Finally, LCM of Fractions for 42/744, 17/214, 517/175 is 369138.