Least Common Multiple of 292/17, 158/5248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 292/17, 158/5248 quickly i.e. 23068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/17, 158/5248 is 23068.

LCM(292/17, 158/5248) = 23068

LCM of 292/17, 158/5248

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 292/17,158/5248

Given numbers are 292/17,158/5248

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 292,158

Least Common Multiple of Numerators i.e. LCM of 292,158 is 23068.

GCF of Denominators means GCF of 17,5248 as per the given fractions.

GCF of 17,5248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,158

LCM of Fractions 292/17,158/5248 is 23068

2 292, 158
146, 79

∴ So the LCM of the given numbers is 2 x 146 x 79 = 23068

Least Common Multiple of 292,158 with GCF Formula

Least Common Multiple of 292,158 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 292,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,158) = 2

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

GCF(292,158) x common factors =2 x 1 = 2

LCM(292,158) = ( 292 × 158 ) / 2

LCM(292,158) = 46136 / 2

LCM(292,158) = 23068


Lets's calculate GCF of 17,5248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23068/1

Therefore the LCM of Fractions 292/17,158/5248 is 23068

Greatest Common Factor of 17,5248 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,5248 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 5248

List of positive integer factors of 5248 that divides 5248 without a remainder.

1,2,4,8,16,32,41,64,82,128,164,328,656,1312,2624,5248

Greatest Common Factor

We found the factors 17,5248 . The biggest common factor number is the GCF number.
So the greatest common factor 17,5248 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 292/17, 158/5248

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 292/17, 158/5248?

Answer: LCM of Numerators as per given numbers 292/17, 158/5248 is

LCM of Numerators i.e. for 292,158 is 23068

GCF of denominators i.e. for 17,5248 is 1.

Thus, LCM of Fractions is 23068.Finally, LCM of Fractions for 292/17, 158/5248 is 23068.