Least Common Multiple of 4588/908, 7052/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4588/908, 7052/345 quickly i.e. 8088644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4588/908, 7052/345 is 8088644.

LCM(4588/908, 7052/345) = 8088644

LCM of 4588/908, 7052/345

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 4588/908,7052/345

Given numbers are 4588/908,7052/345

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 4588,7052

Least Common Multiple of Numerators i.e. LCM of 4588,7052 is 8088644.

GCF of Denominators means GCF of 908,345 as per the given fractions.

GCF of 908,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4588,7052

LCM of Fractions 4588/908,7052/345 is 8088644

2 4588, 7052
2 2294, 3526
1147, 1763

∴ So the LCM of the given numbers is 2 x 2 x 1147 x 1763 = 8088644

Least Common Multiple of 4588,7052 with GCF Formula

Least Common Multiple of 4588,7052 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 4588,7052 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4588,7052) = 4

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

GCF(4588,7052) x common factors =4 x 1 = 4

LCM(4588,7052) = ( 4588 × 7052 ) / 4

LCM(4588,7052) = 32354576 / 4

LCM(4588,7052) = 8088644


Lets's calculate GCF of 908,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8088644/1

Therefore the LCM of Fractions 4588/908,7052/345 is 8088644

Greatest Common Factor of 908,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,345 By Matching Biggest Common Factor Method

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 908,345 . The biggest common factor number is the GCF number.
So the greatest common factor 908,345 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4588/908, 7052/345

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 4588/908, 7052/345?

Answer: LCM of Numerators as per given numbers 4588/908, 7052/345 is

LCM of Numerators i.e. for 4588,7052 is 8088644

GCF of denominators i.e. for 908,345 is 1.

Thus, LCM of Fractions is 8088644.Finally, LCM of Fractions for 4588/908, 7052/345 is 8088644.