Least Common Multiple of 3160/27, 6948/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3160/27, 6948/898 quickly i.e. 5488920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3160/27, 6948/898 is 5488920.

LCM(3160/27, 6948/898) = 5488920

LCM of 3160/27, 6948/898

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 3160/27,6948/898

Given numbers are 3160/27,6948/898

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 3160,6948

Least Common Multiple of Numerators i.e. LCM of 3160,6948 is 5488920.

GCF of Denominators means GCF of 27,898 as per the given fractions.

GCF of 27,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3160,6948

LCM of Fractions 3160/27,6948/898 is 5488920

2 3160, 6948
2 1580, 3474
790, 1737

∴ So the LCM of the given numbers is 2 x 2 x 790 x 1737 = 5488920

Least Common Multiple of 3160,6948 with GCF Formula

Least Common Multiple of 3160,6948 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 3160,6948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3160,6948) = 4

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

GCF(3160,6948) x common factors =4 x 1 = 4

LCM(3160,6948) = ( 3160 × 6948 ) / 4

LCM(3160,6948) = 21955680 / 4

LCM(3160,6948) = 5488920


Lets's calculate GCF of 27,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5488920/1

Therefore the LCM of Fractions 3160/27,6948/898 is 5488920

Greatest Common Factor of 27,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,898 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 27,898 . The biggest common factor number is the GCF number.
So the greatest common factor 27,898 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 3160/27, 6948/898

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 3160/27, 6948/898?

Answer: LCM of Numerators as per given numbers 3160/27, 6948/898 is

LCM of Numerators i.e. for 3160,6948 is 5488920

GCF of denominators i.e. for 27,898 is 1.

Thus, LCM of Fractions is 5488920.Finally, LCM of Fractions for 3160/27, 6948/898 is 5488920.