Least Common Multiple of 29/26, 98/16, 85/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/26, 98/16, 85/917 quickly i.e. 241570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/26, 98/16, 85/917 is 241570.

LCM(29/26, 98/16, 85/917) = 241570

LCM of 29/26, 98/16, 85/917

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 29/26,98/16,85/917

Given numbers are 29/26,98/16,85/917

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 29,98,85

Least Common Multiple of Numerators i.e. LCM of 29,98,85 is 241570.

GCF of Denominators means GCF of 26,16,917 as per the given fractions.

GCF of 26,16,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,98,85

LCM of Fractions 29/26,98/16,85/917 is 241570

Given numbers has no common factors except 1. So, there LCM is their product i.e 241570

Least Common Multiple of 29,98,85 with GCF Formula

Least Common Multiple of 29,98,85 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 29,98,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,98,85) = 1

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

GCF(29,98,85) x common factors =1 x 1 = 1

LCM(29,98,85) = ( 29 × 98 × 85 ) / 1

LCM(29,98,85) = 241570 / 1

LCM(29,98,85) = 241570


Lets's calculate GCF of 26,16,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241570/1

Therefore the LCM of Fractions 29/26,98/16,85/917 is 241570

Greatest Common Factor of 26,16,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,16,917 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 917

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

1,7,131,917

Greatest Common Factor

We found the factors 26,16,917 . The biggest common factor number is the GCF number.
So the greatest common factor 26,16,917 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/26, 98/16, 85/917

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 29/26, 98/16, 85/917?

Answer: LCM of Numerators as per given numbers 29/26, 98/16, 85/917 is

LCM of Numerators i.e. for 29,98,85 is 241570

GCF of denominators i.e. for 26,16,917 is 1.

Thus, LCM of Fractions is 241570.Finally, LCM of Fractions for 29/26, 98/16, 85/917 is 241570.