Least Common Multiple of 74/58, 44/56, 816/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/58, 44/56, 816/724 quickly i.e. 166056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/58, 44/56, 816/724 is 166056.

LCM(74/58, 44/56, 816/724) = 166056

LCM of 74/58, 44/56, 816/724

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 74/58,44/56,816/724

Given numbers are 74/58,44/56,816/724

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 74,44,816

Least Common Multiple of Numerators i.e. LCM of 74,44,816 is 332112.

GCF of Denominators means GCF of 58,56,724 as per the given fractions.

GCF of 58,56,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,44,816

LCM of Fractions 74/58,44/56,816/724 is 166056

2 74, 44, 816
2 37, 22, 408
37, 11, 204

∴ So the LCM of the given numbers is 2 x 2 x 37 x 11 x 204 = 332112

Least Common Multiple of 74,44,816 with GCF Formula

Least Common Multiple of 74,44,816 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 74,44,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,44,816) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(74,44,816) x common factors =2 x 4 = 8

LCM(74,44,816) = ( 74 × 44 × 816 ) / 8

LCM(74,44,816) = 2656896 / 8

LCM(74,44,816) = 332112


Lets's calculate GCF of 58,56,724

2 58, 56, 724
29, 28, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332112/2

Therefore the LCM of Fractions 74/58,44/56,816/724 is 166056

Greatest Common Factor of 58,56,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,56,724 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 58,56,724 . The biggest common factor number is the GCF number.
So the greatest common factor 58,56,724 is 2.


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 74/58, 44/56, 816/724

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 74/58, 44/56, 816/724?

Answer: LCM of Numerators as per given numbers 74/58, 44/56, 816/724 is

LCM of Numerators i.e. for 74,44,816 is 332112

GCF of denominators i.e. for 58,56,724 is 2.

Thus, LCM of Fractions is 166056.Finally, LCM of Fractions for 74/58, 44/56, 816/724 is 166056.