Least Common Multiple of 3492/582, 4726/7521

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3492/582, 4726/7521 quickly i.e. 2750532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3492/582, 4726/7521 is 2750532.

LCM(3492/582, 4726/7521) = 2750532

LCM of 3492/582, 4726/7521

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 3492/582,4726/7521

Given numbers are 3492/582,4726/7521

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 3492,4726

Least Common Multiple of Numerators i.e. LCM of 3492,4726 is 8251596.

GCF of Denominators means GCF of 582,7521 as per the given fractions.

GCF of 582,7521 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3492,4726

LCM of Fractions 3492/582,4726/7521 is 2750532

2 3492, 4726
1746, 2363

∴ So the LCM of the given numbers is 2 x 1746 x 2363 = 8251596

Least Common Multiple of 3492,4726 with GCF Formula

Least Common Multiple of 3492,4726 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 3492,4726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3492,4726) = 2

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

GCF(3492,4726) x common factors =2 x 1 = 2

LCM(3492,4726) = ( 3492 × 4726 ) / 2

LCM(3492,4726) = 16503192 / 2

LCM(3492,4726) = 8251596


Lets's calculate GCF of 582,7521

3 582, 7521
194, 2507

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8251596/3

Therefore the LCM of Fractions 3492/582,4726/7521 is 2750532

Greatest Common Factor of 582,7521 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,7521 By Matching Biggest Common Factor Method

Factors of 582

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

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

Factors of 7521

List of positive integer factors of 7521 that divides 7521 without a remainder.

1,3,23,69,109,327,2507,7521

Greatest Common Factor

We found the factors 582,7521 . The biggest common factor number is the GCF number.
So the greatest common factor 582,7521 is 3.


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 3492/582, 4726/7521

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 3492/582, 4726/7521?

Answer: LCM of Numerators as per given numbers 3492/582, 4726/7521 is

LCM of Numerators i.e. for 3492,4726 is 8251596

GCF of denominators i.e. for 582,7521 is 3.

Thus, LCM of Fractions is 2750532.Finally, LCM of Fractions for 3492/582, 4726/7521 is 2750532.