Least Common Multiple of 741/24, 169/70, 801/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 741/24, 169/70, 801/563 quickly i.e. 2572011 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/24, 169/70, 801/563 is 2572011.

LCM(741/24, 169/70, 801/563) = 2572011

LCM of 741/24, 169/70, 801/563

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 741/24,169/70,801/563

Given numbers are 741/24,169/70,801/563

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 741,169,801

Least Common Multiple of Numerators i.e. LCM of 741,169,801 is 2572011.

GCF of Denominators means GCF of 24,70,563 as per the given fractions.

GCF of 24,70,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,169,801

LCM of Fractions 741/24,169/70,801/563 is 2572011

3 741, 169, 801
13 247, 169, 267
19, 13, 267

∴ So the LCM of the given numbers is 3 x 13 x 19 x 13 x 267 = 2572011

Least Common Multiple of 741,169,801 with GCF Formula

Least Common Multiple of 741,169,801 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 741,169,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,169,801) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(741,169,801) x common factors =1 x 39 = 39

LCM(741,169,801) = ( 741 × 169 × 801 ) / 39

LCM(741,169,801) = 100308429 / 39

LCM(741,169,801) = 2572011


Lets's calculate GCF of 24,70,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2572011/1

Therefore the LCM of Fractions 741/24,169/70,801/563 is 2572011

Greatest Common Factor of 24,70,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,70,563 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 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 24,70,563 . The biggest common factor number is the GCF number.
So the greatest common factor 24,70,563 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 741/24, 169/70, 801/563

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 741/24, 169/70, 801/563?

Answer: LCM of Numerators as per given numbers 741/24, 169/70, 801/563 is

LCM of Numerators i.e. for 741,169,801 is 2572011

GCF of denominators i.e. for 24,70,563 is 1.

Thus, LCM of Fractions is 2572011.Finally, LCM of Fractions for 741/24, 169/70, 801/563 is 2572011.