Least Common Multiple of 31/549, 2255/3160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/549, 2255/3160 quickly i.e. 69905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/549, 2255/3160 is 69905.

LCM(31/549, 2255/3160) = 69905

LCM of 31/549, 2255/3160

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 31/549,2255/3160

Given numbers are 31/549,2255/3160

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 31,2255

Least Common Multiple of Numerators i.e. LCM of 31,2255 is 69905.

GCF of Denominators means GCF of 549,3160 as per the given fractions.

GCF of 549,3160 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,2255

LCM of Fractions 31/549,2255/3160 is 69905

Given numbers has no common factors except 1. So, there LCM is their product i.e 69905

Least Common Multiple of 31,2255 with GCF Formula

Least Common Multiple of 31,2255 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 31,2255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,2255) = 1

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

GCF(31,2255) x common factors =1 x 1 = 1

LCM(31,2255) = ( 31 × 2255 ) / 1

LCM(31,2255) = 69905 / 1

LCM(31,2255) = 69905


Lets's calculate GCF of 549,3160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69905/1

Therefore the LCM of Fractions 31/549,2255/3160 is 69905

Greatest Common Factor of 549,3160 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,3160 By Matching Biggest Common Factor Method

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 3160

List of positive integer factors of 3160 that divides 3160 without a remainder.

1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160

Greatest Common Factor

We found the factors 549,3160 . The biggest common factor number is the GCF number.
So the greatest common factor 549,3160 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 31/549, 2255/3160

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 31/549, 2255/3160?

Answer: LCM of Numerators as per given numbers 31/549, 2255/3160 is

LCM of Numerators i.e. for 31,2255 is 69905

GCF of denominators i.e. for 549,3160 is 1.

Thus, LCM of Fractions is 69905.Finally, LCM of Fractions for 31/549, 2255/3160 is 69905.