Least Common Multiple of 29/17, 56/78, 65/869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/17, 56/78, 65/869 quickly i.e. 105560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/17, 56/78, 65/869 is 105560.

LCM(29/17, 56/78, 65/869) = 105560

LCM of 29/17, 56/78, 65/869

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 29/17,56/78,65/869

Given numbers are 29/17,56/78,65/869

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 29,56,65

Least Common Multiple of Numerators i.e. LCM of 29,56,65 is 105560.

GCF of Denominators means GCF of 17,78,869 as per the given fractions.

GCF of 17,78,869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,56,65

LCM of Fractions 29/17,56/78,65/869 is 105560

Given numbers has no common factors except 1. So, there LCM is their product i.e 105560

Least Common Multiple of 29,56,65 with GCF Formula

Least Common Multiple of 29,56,65 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 29,56,65 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,56,65) = 1

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

GCF(29,56,65) x common factors =1 x 1 = 1

LCM(29,56,65) = ( 29 × 56 × 65 ) / 1

LCM(29,56,65) = 105560 / 1

LCM(29,56,65) = 105560


Lets's calculate GCF of 17,78,869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105560/1

Therefore the LCM of Fractions 29/17,56/78,65/869 is 105560

Greatest Common Factor of 17,78,869 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,78,869 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Greatest Common Factor

We found the factors 17,78,869 . The biggest common factor number is the GCF number.
So the greatest common factor 17,78,869 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 29/17, 56/78, 65/869

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 29/17, 56/78, 65/869?

Answer: LCM of Numerators as per given numbers 29/17, 56/78, 65/869 is

LCM of Numerators i.e. for 29,56,65 is 105560

GCF of denominators i.e. for 17,78,869 is 1.

Thus, LCM of Fractions is 105560.Finally, LCM of Fractions for 29/17, 56/78, 65/869 is 105560.