Least Common Multiple of 7356/575, 9536/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7356/575, 9536/452 quickly i.e. 17536704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7356/575, 9536/452 is 17536704.

LCM(7356/575, 9536/452) = 17536704

LCM of 7356/575, 9536/452

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 7356/575,9536/452

Given numbers are 7356/575,9536/452

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 7356,9536

Least Common Multiple of Numerators i.e. LCM of 7356,9536 is 17536704.

GCF of Denominators means GCF of 575,452 as per the given fractions.

GCF of 575,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7356,9536

LCM of Fractions 7356/575,9536/452 is 17536704

2 7356, 9536
2 3678, 4768
1839, 2384

∴ So the LCM of the given numbers is 2 x 2 x 1839 x 2384 = 17536704

Least Common Multiple of 7356,9536 with GCF Formula

Least Common Multiple of 7356,9536 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 7356,9536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7356,9536) = 4

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

GCF(7356,9536) x common factors =4 x 1 = 4

LCM(7356,9536) = ( 7356 × 9536 ) / 4

LCM(7356,9536) = 70146816 / 4

LCM(7356,9536) = 17536704


Lets's calculate GCF of 575,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17536704/1

Therefore the LCM of Fractions 7356/575,9536/452 is 17536704

Greatest Common Factor of 575,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,452 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 575,452 . The biggest common factor number is the GCF number.
So the greatest common factor 575,452 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 7356/575, 9536/452

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 7356/575, 9536/452?

Answer: LCM of Numerators as per given numbers 7356/575, 9536/452 is

LCM of Numerators i.e. for 7356,9536 is 17536704

GCF of denominators i.e. for 575,452 is 1.

Thus, LCM of Fractions is 17536704.Finally, LCM of Fractions for 7356/575, 9536/452 is 17536704.