Least Common Multiple of 750/34, 339/8958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/34, 339/8958 quickly i.e. 42375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/34, 339/8958 is 42375.

LCM(750/34, 339/8958) = 42375

LCM of 750/34, 339/8958

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 750/34,339/8958

Given numbers are 750/34,339/8958

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 750,339

Least Common Multiple of Numerators i.e. LCM of 750,339 is 84750.

GCF of Denominators means GCF of 34,8958 as per the given fractions.

GCF of 34,8958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,339

LCM of Fractions 750/34,339/8958 is 42375

3 750, 339
250, 113

∴ So the LCM of the given numbers is 3 x 250 x 113 = 84750

Least Common Multiple of 750,339 with GCF Formula

Least Common Multiple of 750,339 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 750,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,339) = 3

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

GCF(750,339) x common factors =3 x 1 = 3

LCM(750,339) = ( 750 × 339 ) / 3

LCM(750,339) = 254250 / 3

LCM(750,339) = 84750


Lets's calculate GCF of 34,8958

2 34, 8958
17, 4479

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84750/2

Therefore the LCM of Fractions 750/34,339/8958 is 42375

Greatest Common Factor of 34,8958 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,8958 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 8958

List of positive integer factors of 8958 that divides 8958 without a remainder.

1,2,3,6,1493,2986,4479,8958

Greatest Common Factor

We found the factors 34,8958 . The biggest common factor number is the GCF number.
So the greatest common factor 34,8958 is 2.


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 750/34, 339/8958

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 750/34, 339/8958?

Answer: LCM of Numerators as per given numbers 750/34, 339/8958 is

LCM of Numerators i.e. for 750,339 is 84750

GCF of denominators i.e. for 34,8958 is 2.

Thus, LCM of Fractions is 42375.Finally, LCM of Fractions for 750/34, 339/8958 is 42375.