Least Common Multiple of 46/24, 53/85, 67/29, 97/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/24, 53/85, 67/29, 97/723 quickly i.e. 15844562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/24, 53/85, 67/29, 97/723 is 15844562.

LCM(46/24, 53/85, 67/29, 97/723) = 15844562

LCM of 46/24, 53/85, 67/29, 97/723

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 46/24,53/85,67/29,97/723

Given numbers are 46/24,53/85,67/29,97/723

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 46,53,67,97

Least Common Multiple of Numerators i.e. LCM of 46,53,67,97 is 15844562.

GCF of Denominators means GCF of 24,85,29,723 as per the given fractions.

GCF of 24,85,29,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,53,67,97

LCM of Fractions 46/24,53/85,67/29,97/723 is 15844562

Given numbers has no common factors except 1. So, there LCM is their product i.e 15844562

Least Common Multiple of 46,53,67,97 with GCF Formula

Least Common Multiple of 46,53,67,97 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 46,53,67,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,53,67,97) = 1

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

GCF(46,53,67,97) x common factors =1 x 1 = 1

LCM(46,53,67,97) = ( 46 × 53 × 67 × 97 ) / 1

LCM(46,53,67,97) = 15844562 / 1

LCM(46,53,67,97) = 15844562


Lets's calculate GCF of 24,85,29,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15844562/1

Therefore the LCM of Fractions 46/24,53/85,67/29,97/723 is 15844562

Greatest Common Factor of 24,85,29,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,85,29,723 By Matching Biggest Common Factor Method

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 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 24,85,29,723 . The biggest common factor number is the GCF number.
So the greatest common factor 24,85,29,723 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 46/24, 53/85, 67/29, 97/723

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 46/24, 53/85, 67/29, 97/723?

Answer: LCM of Numerators as per given numbers 46/24, 53/85, 67/29, 97/723 is

LCM of Numerators i.e. for 46,53,67,97 is 15844562

GCF of denominators i.e. for 24,85,29,723 is 1.

Thus, LCM of Fractions is 15844562.Finally, LCM of Fractions for 46/24, 53/85, 67/29, 97/723 is 15844562.