Least Common Multiple of 47/24, 88/40, 674/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/24, 88/40, 674/920 quickly i.e. 174229 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/24, 88/40, 674/920 is 174229.

LCM(47/24, 88/40, 674/920) = 174229

LCM of 47/24, 88/40, 674/920

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 47/24,88/40,674/920

Given numbers are 47/24,88/40,674/920

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 47,88,674

Least Common Multiple of Numerators i.e. LCM of 47,88,674 is 1393832.

GCF of Denominators means GCF of 24,40,920 as per the given fractions.

GCF of 24,40,920 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,88,674

LCM of Fractions 47/24,88/40,674/920 is 174229

2 47, 88, 674
47, 44, 337

∴ So the LCM of the given numbers is 2 x 47 x 44 x 337 = 1393832

Least Common Multiple of 47,88,674 with GCF Formula

Least Common Multiple of 47,88,674 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 47,88,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,88,674) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,88,674) x common factors =1 x 2 = 2

LCM(47,88,674) = ( 47 × 88 × 674 ) / 2

LCM(47,88,674) = 2787664 / 2

LCM(47,88,674) = 1393832


Lets's calculate GCF of 24,40,920

2 24, 40, 920
2 12, 20, 460
2 6, 10, 230
3, 5, 115

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1393832/8

Therefore the LCM of Fractions 47/24,88/40,674/920 is 174229

Greatest Common Factor of 24,40,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,40,920 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 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 24,40,920 . The biggest common factor number is the GCF number.
So the greatest common factor 24,40,920 is 8.


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 47/24, 88/40, 674/920

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 47/24, 88/40, 674/920?

Answer: LCM of Numerators as per given numbers 47/24, 88/40, 674/920 is

LCM of Numerators i.e. for 47,88,674 is 1393832

GCF of denominators i.e. for 24,40,920 is 8.

Thus, LCM of Fractions is 174229.Finally, LCM of Fractions for 47/24, 88/40, 674/920 is 174229.