Least Common Multiple of 5912/584, 6858/2999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5912/584, 6858/2999 quickly i.e. 20272248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5912/584, 6858/2999 is 20272248.

LCM(5912/584, 6858/2999) = 20272248

LCM of 5912/584, 6858/2999

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 5912/584,6858/2999

Given numbers are 5912/584,6858/2999

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 5912,6858

Least Common Multiple of Numerators i.e. LCM of 5912,6858 is 20272248.

GCF of Denominators means GCF of 584,2999 as per the given fractions.

GCF of 584,2999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5912,6858

LCM of Fractions 5912/584,6858/2999 is 20272248

2 5912, 6858
2956, 3429

∴ So the LCM of the given numbers is 2 x 2956 x 3429 = 20272248

Least Common Multiple of 5912,6858 with GCF Formula

Least Common Multiple of 5912,6858 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 5912,6858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5912,6858) = 2

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

GCF(5912,6858) x common factors =2 x 1 = 2

LCM(5912,6858) = ( 5912 × 6858 ) / 2

LCM(5912,6858) = 40544496 / 2

LCM(5912,6858) = 20272248


Lets's calculate GCF of 584,2999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20272248/1

Therefore the LCM of Fractions 5912/584,6858/2999 is 20272248

Greatest Common Factor of 584,2999 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,2999 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 2999

List of positive integer factors of 2999 that divides 2999 without a remainder.

1,2999

Greatest Common Factor

We found the factors 584,2999 . The biggest common factor number is the GCF number.
So the greatest common factor 584,2999 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 5912/584, 6858/2999

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 5912/584, 6858/2999?

Answer: LCM of Numerators as per given numbers 5912/584, 6858/2999 is

LCM of Numerators i.e. for 5912,6858 is 20272248

GCF of denominators i.e. for 584,2999 is 1.

Thus, LCM of Fractions is 20272248.Finally, LCM of Fractions for 5912/584, 6858/2999 is 20272248.