Least Common Multiple of 178/13, 569/54, 851/24

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 178/13, 569/54, 851/24 quickly i.e. 86190982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 178/13, 569/54, 851/24 is 86190982.

LCM(178/13, 569/54, 851/24) = 86190982

LCM of 178/13, 569/54, 851/24

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 178/13,569/54,851/24

Given numbers are 178/13,569/54,851/24

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 178,569,851

Least Common Multiple of Numerators i.e. LCM of 178,569,851 is 86190982.

GCF of Denominators means GCF of 13,54,24 as per the given fractions.

GCF of 13,54,24 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 178,569,851

LCM of Fractions 178/13,569/54,851/24 is 86190982

Given numbers has no common factors except 1. So, there LCM is their product i.e 86190982

Least Common Multiple of 178,569,851 with GCF Formula

Least Common Multiple of 178,569,851 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 178,569,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,569,851) = 1

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

GCF(178,569,851) x common factors =1 x 1 = 1

LCM(178,569,851) = ( 178 × 569 × 851 ) / 1

LCM(178,569,851) = 86190982 / 1

LCM(178,569,851) = 86190982


Lets's calculate GCF of 13,54,24

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86190982/1

Therefore the LCM of Fractions 178/13,569/54,851/24 is 86190982

Greatest Common Factor of 13,54,24 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,54,24 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 24

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

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

Greatest Common Factor

We found the factors 13,54,24 . The biggest common factor number is the GCF number.
So the greatest common factor 13,54,24 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 178/13, 569/54, 851/24

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 178/13, 569/54, 851/24?

Answer: LCM of Numerators as per given numbers 178/13, 569/54, 851/24 is

LCM of Numerators i.e. for 178,569,851 is 86190982

GCF of denominators i.e. for 13,54,24 is 1.

Thus, LCM of Fractions is 86190982.Finally, LCM of Fractions for 178/13, 569/54, 851/24 is 86190982.