Least Common Multiple of 239/549, 7117/1813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/549, 7117/1813 quickly i.e. 1700963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/549, 7117/1813 is 1700963.

LCM(239/549, 7117/1813) = 1700963

LCM of 239/549, 7117/1813

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 239/549,7117/1813

Given numbers are 239/549,7117/1813

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 239,7117

Least Common Multiple of Numerators i.e. LCM of 239,7117 is 1700963.

GCF of Denominators means GCF of 549,1813 as per the given fractions.

GCF of 549,1813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,7117

LCM of Fractions 239/549,7117/1813 is 1700963

Given numbers has no common factors except 1. So, there LCM is their product i.e 1700963

Least Common Multiple of 239,7117 with GCF Formula

Least Common Multiple of 239,7117 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 239,7117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,7117) = 1

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

GCF(239,7117) x common factors =1 x 1 = 1

LCM(239,7117) = ( 239 × 7117 ) / 1

LCM(239,7117) = 1700963 / 1

LCM(239,7117) = 1700963


Lets's calculate GCF of 549,1813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1700963/1

Therefore the LCM of Fractions 239/549,7117/1813 is 1700963

Greatest Common Factor of 549,1813 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,1813 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 1813

List of positive integer factors of 1813 that divides 1813 without a remainder.

1,7,37,49,259,1813

Greatest Common Factor

We found the factors 549,1813 . The biggest common factor number is the GCF number.
So the greatest common factor 549,1813 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 239/549, 7117/1813

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 239/549, 7117/1813?

Answer: LCM of Numerators as per given numbers 239/549, 7117/1813 is

LCM of Numerators i.e. for 239,7117 is 1700963

GCF of denominators i.e. for 549,1813 is 1.

Thus, LCM of Fractions is 1700963.Finally, LCM of Fractions for 239/549, 7117/1813 is 1700963.