Least Common Multiple of 7534/584, 1992/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7534/584, 1992/821 quickly i.e. 7503864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7534/584, 1992/821 is 7503864.

LCM(7534/584, 1992/821) = 7503864

LCM of 7534/584, 1992/821

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 7534/584,1992/821

Given numbers are 7534/584,1992/821

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 7534,1992

Least Common Multiple of Numerators i.e. LCM of 7534,1992 is 7503864.

GCF of Denominators means GCF of 584,821 as per the given fractions.

GCF of 584,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7534,1992

LCM of Fractions 7534/584,1992/821 is 7503864

2 7534, 1992
3767, 996

∴ So the LCM of the given numbers is 2 x 3767 x 996 = 7503864

Least Common Multiple of 7534,1992 with GCF Formula

Least Common Multiple of 7534,1992 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 7534,1992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7534,1992) = 2

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

GCF(7534,1992) x common factors =2 x 1 = 2

LCM(7534,1992) = ( 7534 × 1992 ) / 2

LCM(7534,1992) = 15007728 / 2

LCM(7534,1992) = 7503864


Lets's calculate GCF of 584,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7503864/1

Therefore the LCM of Fractions 7534/584,1992/821 is 7503864

Greatest Common Factor of 584,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,821 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 584,821 . The biggest common factor number is the GCF number.
So the greatest common factor 584,821 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 7534/584, 1992/821

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 7534/584, 1992/821?

Answer: LCM of Numerators as per given numbers 7534/584, 1992/821 is

LCM of Numerators i.e. for 7534,1992 is 7503864

GCF of denominators i.e. for 584,821 is 1.

Thus, LCM of Fractions is 7503864.Finally, LCM of Fractions for 7534/584, 1992/821 is 7503864.