Least Common Multiple of 61/35, 29/24, 23/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/35, 29/24, 23/684 quickly i.e. 40687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/35, 29/24, 23/684 is 40687.

LCM(61/35, 29/24, 23/684) = 40687

LCM of 61/35, 29/24, 23/684

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 61/35,29/24,23/684

Given numbers are 61/35,29/24,23/684

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 61,29,23

Least Common Multiple of Numerators i.e. LCM of 61,29,23 is 40687.

GCF of Denominators means GCF of 35,24,684 as per the given fractions.

GCF of 35,24,684 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,29,23

LCM of Fractions 61/35,29/24,23/684 is 40687

Given numbers has no common factors except 1. So, there LCM is their product i.e 40687

Least Common Multiple of 61,29,23 with GCF Formula

Least Common Multiple of 61,29,23 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 61,29,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,29,23) = 1

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

GCF(61,29,23) x common factors =1 x 1 = 1

LCM(61,29,23) = ( 61 × 29 × 23 ) / 1

LCM(61,29,23) = 40687 / 1

LCM(61,29,23) = 40687


Lets's calculate GCF of 35,24,684

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40687/1

Therefore the LCM of Fractions 61/35,29/24,23/684 is 40687

Greatest Common Factor of 35,24,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,24,684 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 35,24,684 . The biggest common factor number is the GCF number.
So the greatest common factor 35,24,684 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 61/35, 29/24, 23/684

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 61/35, 29/24, 23/684?

Answer: LCM of Numerators as per given numbers 61/35, 29/24, 23/684 is

LCM of Numerators i.e. for 61,29,23 is 40687

GCF of denominators i.e. for 35,24,684 is 1.

Thus, LCM of Fractions is 40687.Finally, LCM of Fractions for 61/35, 29/24, 23/684 is 40687.