Least Common Multiple of 724/45, 122/24, 574/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/45, 122/24, 574/542 quickly i.e. 12675068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/45, 122/24, 574/542 is 12675068.

LCM(724/45, 122/24, 574/542) = 12675068

LCM of 724/45, 122/24, 574/542

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 724/45,122/24,574/542

Given numbers are 724/45,122/24,574/542

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 724,122,574

Least Common Multiple of Numerators i.e. LCM of 724,122,574 is 12675068.

GCF of Denominators means GCF of 45,24,542 as per the given fractions.

GCF of 45,24,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,122,574

LCM of Fractions 724/45,122/24,574/542 is 12675068

2 724, 122, 574
362, 61, 287

∴ So the LCM of the given numbers is 2 x 362 x 61 x 287 = 12675068

Least Common Multiple of 724,122,574 with GCF Formula

Least Common Multiple of 724,122,574 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 724,122,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,122,574) = 2

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

GCF(724,122,574) x common factors =2 x 2 = 4

LCM(724,122,574) = ( 724 × 122 × 574 ) / 4

LCM(724,122,574) = 50700272 / 4

LCM(724,122,574) = 12675068


Lets's calculate GCF of 45,24,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12675068/1

Therefore the LCM of Fractions 724/45,122/24,574/542 is 12675068

Greatest Common Factor of 45,24,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,24,542 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

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 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 45,24,542 . The biggest common factor number is the GCF number.
So the greatest common factor 45,24,542 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 724/45, 122/24, 574/542

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 724/45, 122/24, 574/542?

Answer: LCM of Numerators as per given numbers 724/45, 122/24, 574/542 is

LCM of Numerators i.e. for 724,122,574 is 12675068

GCF of denominators i.e. for 45,24,542 is 1.

Thus, LCM of Fractions is 12675068.Finally, LCM of Fractions for 724/45, 122/24, 574/542 is 12675068.