Least Common Multiple of 9494/85, 1353/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9494/85, 1353/220 quickly i.e. 12845382/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9494/85, 1353/220 is 12845382/5.

LCM(9494/85, 1353/220) = 12845382/5

LCM of 9494/85, 1353/220

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 9494/85,1353/220

Given numbers are 9494/85,1353/220

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 9494,1353

Least Common Multiple of Numerators i.e. LCM of 9494,1353 is 12845382.

GCF of Denominators means GCF of 85,220 as per the given fractions.

GCF of 85,220 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9494,1353

LCM of Fractions 9494/85,1353/220 is 12845382/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 12845382

Least Common Multiple of 9494,1353 with GCF Formula

Least Common Multiple of 9494,1353 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 9494,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9494,1353) = 1

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

GCF(9494,1353) x common factors =1 x 1 = 1

LCM(9494,1353) = ( 9494 × 1353 ) / 1

LCM(9494,1353) = 12845382 / 1

LCM(9494,1353) = 12845382


Lets's calculate GCF of 85,220

5 85, 220
17, 44

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12845382/5

Therefore the LCM of Fractions 9494/85,1353/220 is 12845382/5

Greatest Common Factor of 85,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,220 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 85,220 . The biggest common factor number is the GCF number.
So the greatest common factor 85,220 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9494/85, 1353/220

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 9494/85, 1353/220?

Answer: LCM of Numerators as per given numbers 9494/85, 1353/220 is

LCM of Numerators i.e. for 9494,1353 is 12845382

GCF of denominators i.e. for 85,220 is 5.

Thus, LCM of Fractions is 12845382/5.Finally, LCM of Fractions for 9494/85, 1353/220 is 12845382/5.