Least Common Multiple of 7349/181, 8582/7220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7349/181, 8582/7220 quickly i.e. 63069118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7349/181, 8582/7220 is 63069118.

LCM(7349/181, 8582/7220) = 63069118

LCM of 7349/181, 8582/7220

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 7349/181,8582/7220

Given numbers are 7349/181,8582/7220

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 7349,8582

Least Common Multiple of Numerators i.e. LCM of 7349,8582 is 63069118.

GCF of Denominators means GCF of 181,7220 as per the given fractions.

GCF of 181,7220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7349,8582

LCM of Fractions 7349/181,8582/7220 is 63069118

Given numbers has no common factors except 1. So, there LCM is their product i.e 63069118

Least Common Multiple of 7349,8582 with GCF Formula

Least Common Multiple of 7349,8582 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 7349,8582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7349,8582) = 1

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

GCF(7349,8582) x common factors =1 x 1 = 1

LCM(7349,8582) = ( 7349 × 8582 ) / 1

LCM(7349,8582) = 63069118 / 1

LCM(7349,8582) = 63069118


Lets's calculate GCF of 181,7220

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63069118/1

Therefore the LCM of Fractions 7349/181,8582/7220 is 63069118

Greatest Common Factor of 181,7220 By Matching Biggest Common Factor Method

Greatest Common Factor of 181,7220 By Matching Biggest Common Factor Method

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 7220

List of positive integer factors of 7220 that divides 7220 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220

Greatest Common Factor

We found the factors 181,7220 . The biggest common factor number is the GCF number.
So the greatest common factor 181,7220 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7349/181, 8582/7220

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 7349/181, 8582/7220?

Answer: LCM of Numerators as per given numbers 7349/181, 8582/7220 is

LCM of Numerators i.e. for 7349,8582 is 63069118

GCF of denominators i.e. for 181,7220 is 1.

Thus, LCM of Fractions is 63069118.Finally, LCM of Fractions for 7349/181, 8582/7220 is 63069118.