Least Common Multiple of 750/618, 299/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 750/618, 299/582 quickly i.e. 37375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/618, 299/582 is 37375.

LCM(750/618, 299/582) = 37375

LCM of 750/618, 299/582

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 750/618,299/582

Given numbers are 750/618,299/582

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 750,299

Least Common Multiple of Numerators i.e. LCM of 750,299 is 224250.

GCF of Denominators means GCF of 618,582 as per the given fractions.

GCF of 618,582 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,299

LCM of Fractions 750/618,299/582 is 37375

Given numbers has no common factors except 1. So, there LCM is their product i.e 224250

Least Common Multiple of 750,299 with GCF Formula

Least Common Multiple of 750,299 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 750,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,299) = 1

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

GCF(750,299) x common factors =1 x 1 = 1

LCM(750,299) = ( 750 × 299 ) / 1

LCM(750,299) = 224250 / 1

LCM(750,299) = 224250


Lets's calculate GCF of 618,582

2 618, 582
3 309, 291
103, 97

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224250/6

Therefore the LCM of Fractions 750/618,299/582 is 37375

Greatest Common Factor of 618,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,582 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 618,582 . The biggest common factor number is the GCF number.
So the greatest common factor 618,582 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 750/618, 299/582

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 750/618, 299/582?

Answer: LCM of Numerators as per given numbers 750/618, 299/582 is

LCM of Numerators i.e. for 750,299 is 224250

GCF of denominators i.e. for 618,582 is 6.

Thus, LCM of Fractions is 37375.Finally, LCM of Fractions for 750/618, 299/582 is 37375.