Least Common Multiple of 722/75, 804/7534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 722/75, 804/7534 quickly i.e. 290244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 722/75, 804/7534 is 290244.

LCM(722/75, 804/7534) = 290244

LCM of 722/75, 804/7534

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 722/75,804/7534

Given numbers are 722/75,804/7534

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 722,804

Least Common Multiple of Numerators i.e. LCM of 722,804 is 290244.

GCF of Denominators means GCF of 75,7534 as per the given fractions.

GCF of 75,7534 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 722,804

LCM of Fractions 722/75,804/7534 is 290244

2 722, 804
361, 402

∴ So the LCM of the given numbers is 2 x 361 x 402 = 290244

Least Common Multiple of 722,804 with GCF Formula

Least Common Multiple of 722,804 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 722,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,804) = 2

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

GCF(722,804) x common factors =2 x 1 = 2

LCM(722,804) = ( 722 × 804 ) / 2

LCM(722,804) = 580488 / 2

LCM(722,804) = 290244


Lets's calculate GCF of 75,7534

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 290244/1

Therefore the LCM of Fractions 722/75,804/7534 is 290244

Greatest Common Factor of 75,7534 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,7534 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 7534

List of positive integer factors of 7534 that divides 7534 without a remainder.

1,2,3767,7534

Greatest Common Factor

We found the factors 75,7534 . The biggest common factor number is the GCF number.
So the greatest common factor 75,7534 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 722/75, 804/7534

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 722/75, 804/7534?

Answer: LCM of Numerators as per given numbers 722/75, 804/7534 is

LCM of Numerators i.e. for 722,804 is 290244

GCF of denominators i.e. for 75,7534 is 1.

Thus, LCM of Fractions is 290244.Finally, LCM of Fractions for 722/75, 804/7534 is 290244.