Least Common Multiple of 75/518, 4736/1759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/518, 4736/1759 quickly i.e. 355200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/518, 4736/1759 is 355200.

LCM(75/518, 4736/1759) = 355200

LCM of 75/518, 4736/1759

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 75/518,4736/1759

Given numbers are 75/518,4736/1759

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 75,4736

Least Common Multiple of Numerators i.e. LCM of 75,4736 is 355200.

GCF of Denominators means GCF of 518,1759 as per the given fractions.

GCF of 518,1759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,4736

LCM of Fractions 75/518,4736/1759 is 355200

Given numbers has no common factors except 1. So, there LCM is their product i.e 355200

Least Common Multiple of 75,4736 with GCF Formula

Least Common Multiple of 75,4736 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 75,4736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,4736) = 1

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

GCF(75,4736) x common factors =1 x 1 = 1

LCM(75,4736) = ( 75 × 4736 ) / 1

LCM(75,4736) = 355200 / 1

LCM(75,4736) = 355200


Lets's calculate GCF of 518,1759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355200/1

Therefore the LCM of Fractions 75/518,4736/1759 is 355200

Greatest Common Factor of 518,1759 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,1759 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 1759

List of positive integer factors of 1759 that divides 1759 without a remainder.

1,1759

Greatest Common Factor

We found the factors 518,1759 . The biggest common factor number is the GCF number.
So the greatest common factor 518,1759 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 75/518, 4736/1759

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 75/518, 4736/1759?

Answer: LCM of Numerators as per given numbers 75/518, 4736/1759 is

LCM of Numerators i.e. for 75,4736 is 355200

GCF of denominators i.e. for 518,1759 is 1.

Thus, LCM of Fractions is 355200.Finally, LCM of Fractions for 75/518, 4736/1759 is 355200.