Least Common Multiple of 29/986, 86/109, 269/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/986, 86/109, 269/104 quickly i.e. 670886 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/986, 86/109, 269/104 is 670886.

LCM(29/986, 86/109, 269/104) = 670886

LCM of 29/986, 86/109, 269/104

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 29/986,86/109,269/104

Given numbers are 29/986,86/109,269/104

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 29,86,269

Least Common Multiple of Numerators i.e. LCM of 29,86,269 is 670886.

GCF of Denominators means GCF of 986,109,104 as per the given fractions.

GCF of 986,109,104 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,86,269

LCM of Fractions 29/986,86/109,269/104 is 670886

Given numbers has no common factors except 1. So, there LCM is their product i.e 670886

Least Common Multiple of 29,86,269 with GCF Formula

Least Common Multiple of 29,86,269 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 29,86,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,86,269) = 1

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

GCF(29,86,269) x common factors =1 x 1 = 1

LCM(29,86,269) = ( 29 × 86 × 269 ) / 1

LCM(29,86,269) = 670886 / 1

LCM(29,86,269) = 670886


Lets's calculate GCF of 986,109,104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 670886/1

Therefore the LCM of Fractions 29/986,86/109,269/104 is 670886

Greatest Common Factor of 986,109,104 By Matching Biggest Common Factor Method

Greatest Common Factor of 986,109,104 By Matching Biggest Common Factor Method

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Greatest Common Factor

We found the factors 986,109,104 . The biggest common factor number is the GCF number.
So the greatest common factor 986,109,104 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 29/986, 86/109, 269/104

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 29/986, 86/109, 269/104?

Answer: LCM of Numerators as per given numbers 29/986, 86/109, 269/104 is

LCM of Numerators i.e. for 29,86,269 is 670886

GCF of denominators i.e. for 986,109,104 is 1.

Thus, LCM of Fractions is 670886.Finally, LCM of Fractions for 29/986, 86/109, 269/104 is 670886.