Least Common Multiple of 161/917, 199/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 161/917, 199/524 quickly i.e. 32039/131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 161/917, 199/524 is 32039/131.

LCM(161/917, 199/524) = 32039/131

LCM of 161/917, 199/524

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 161/917,199/524

Given numbers are 161/917,199/524

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 161,199

Least Common Multiple of Numerators i.e. LCM of 161,199 is 32039.

GCF of Denominators means GCF of 917,524 as per the given fractions.

GCF of 917,524 is 131 as it is the largest common factor for these numbers.

Lets's calculate LCM of 161,199

LCM of Fractions 161/917,199/524 is 32039/131

Given numbers has no common factors except 1. So, there LCM is their product i.e 32039

Least Common Multiple of 161,199 with GCF Formula

Least Common Multiple of 161,199 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 161,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(161,199) = 1

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

GCF(161,199) x common factors =1 x 1 = 1

LCM(161,199) = ( 161 × 199 ) / 1

LCM(161,199) = 32039 / 1

LCM(161,199) = 32039


Lets's calculate GCF of 917,524

131 917, 524
7, 4

∴ So the GCF of the given numbers is 131 = 131

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32039/131

Therefore the LCM of Fractions 161/917,199/524 is 32039/131

Greatest Common Factor of 917,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,524 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 917,524 . The biggest common factor number is the GCF number.
So the greatest common factor 917,524 is 131.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 161/917, 199/524

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 161/917, 199/524?

Answer: LCM of Numerators as per given numbers 161/917, 199/524 is

LCM of Numerators i.e. for 161,199 is 32039

GCF of denominators i.e. for 917,524 is 131.

Thus, LCM of Fractions is 32039/131.Finally, LCM of Fractions for 161/917, 199/524 is 32039/131.