Least Common Multiple of 364/75, 535/7499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 364/75, 535/7499 quickly i.e. 194740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 364/75, 535/7499 is 194740.

LCM(364/75, 535/7499) = 194740

LCM of 364/75, 535/7499

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 364/75,535/7499

Given numbers are 364/75,535/7499

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 364,535

Least Common Multiple of Numerators i.e. LCM of 364,535 is 194740.

GCF of Denominators means GCF of 75,7499 as per the given fractions.

GCF of 75,7499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 364,535

LCM of Fractions 364/75,535/7499 is 194740

Given numbers has no common factors except 1. So, there LCM is their product i.e 194740

Least Common Multiple of 364,535 with GCF Formula

Least Common Multiple of 364,535 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 364,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,535) = 1

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

GCF(364,535) x common factors =1 x 1 = 1

LCM(364,535) = ( 364 × 535 ) / 1

LCM(364,535) = 194740 / 1

LCM(364,535) = 194740


Lets's calculate GCF of 75,7499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194740/1

Therefore the LCM of Fractions 364/75,535/7499 is 194740

Greatest Common Factor of 75,7499 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,7499 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 7499

List of positive integer factors of 7499 that divides 7499 without a remainder.

1,7499

Greatest Common Factor

We found the factors 75,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 75,7499 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 364/75, 535/7499

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 364/75, 535/7499?

Answer: LCM of Numerators as per given numbers 364/75, 535/7499 is

LCM of Numerators i.e. for 364,535 is 194740

GCF of denominators i.e. for 75,7499 is 1.

Thus, LCM of Fractions is 194740.Finally, LCM of Fractions for 364/75, 535/7499 is 194740.