Least Common Multiple of 3240/886, 5980/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3240/886, 5980/874 quickly i.e. 484380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3240/886, 5980/874 is 484380.

LCM(3240/886, 5980/874) = 484380

LCM of 3240/886, 5980/874

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 3240/886,5980/874

Given numbers are 3240/886,5980/874

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 3240,5980

Least Common Multiple of Numerators i.e. LCM of 3240,5980 is 968760.

GCF of Denominators means GCF of 886,874 as per the given fractions.

GCF of 886,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3240,5980

LCM of Fractions 3240/886,5980/874 is 484380

2 3240, 5980
2 1620, 2990
5 810, 1495
162, 299

∴ So the LCM of the given numbers is 2 x 2 x 5 x 162 x 299 = 968760

Least Common Multiple of 3240,5980 with GCF Formula

Least Common Multiple of 3240,5980 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 3240,5980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3240,5980) = 20

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

GCF(3240,5980) x common factors =20 x 1 = 20

LCM(3240,5980) = ( 3240 × 5980 ) / 20

LCM(3240,5980) = 19375200 / 20

LCM(3240,5980) = 968760


Lets's calculate GCF of 886,874

2 886, 874
443, 437

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 968760/2

Therefore the LCM of Fractions 3240/886,5980/874 is 484380

Greatest Common Factor of 886,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 886,874 By Matching Biggest Common Factor Method

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 886,874 . The biggest common factor number is the GCF number.
So the greatest common factor 886,874 is 2.


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 3240/886, 5980/874

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 3240/886, 5980/874?

Answer: LCM of Numerators as per given numbers 3240/886, 5980/874 is

LCM of Numerators i.e. for 3240,5980 is 968760

GCF of denominators i.e. for 886,874 is 2.

Thus, LCM of Fractions is 484380.Finally, LCM of Fractions for 3240/886, 5980/874 is 484380.