Least Common Multiple of 868/590, 9024/9679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 868/590, 9024/9679 quickly i.e. 1958208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/590, 9024/9679 is 1958208.

LCM(868/590, 9024/9679) = 1958208

LCM of 868/590, 9024/9679

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 868/590,9024/9679

Given numbers are 868/590,9024/9679

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 868,9024

Least Common Multiple of Numerators i.e. LCM of 868,9024 is 1958208.

GCF of Denominators means GCF of 590,9679 as per the given fractions.

GCF of 590,9679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,9024

LCM of Fractions 868/590,9024/9679 is 1958208

2 868, 9024
2 434, 4512
217, 2256

∴ So the LCM of the given numbers is 2 x 2 x 217 x 2256 = 1958208

Least Common Multiple of 868,9024 with GCF Formula

Least Common Multiple of 868,9024 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 868,9024 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,9024) = 4

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

GCF(868,9024) x common factors =4 x 1 = 4

LCM(868,9024) = ( 868 × 9024 ) / 4

LCM(868,9024) = 7832832 / 4

LCM(868,9024) = 1958208


Lets's calculate GCF of 590,9679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1958208/1

Therefore the LCM of Fractions 868/590,9024/9679 is 1958208

Greatest Common Factor of 590,9679 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,9679 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 9679

List of positive integer factors of 9679 that divides 9679 without a remainder.

1,9679

Greatest Common Factor

We found the factors 590,9679 . The biggest common factor number is the GCF number.
So the greatest common factor 590,9679 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 868/590, 9024/9679

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 868/590, 9024/9679?

Answer: LCM of Numerators as per given numbers 868/590, 9024/9679 is

LCM of Numerators i.e. for 868,9024 is 1958208

GCF of denominators i.e. for 590,9679 is 1.

Thus, LCM of Fractions is 1958208.Finally, LCM of Fractions for 868/590, 9024/9679 is 1958208.