Least Common Multiple of 74/24, 275/56, 822/745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/24, 275/56, 822/745 quickly i.e. 8363850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/24, 275/56, 822/745 is 8363850.

LCM(74/24, 275/56, 822/745) = 8363850

LCM of 74/24, 275/56, 822/745

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 74/24,275/56,822/745

Given numbers are 74/24,275/56,822/745

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 74,275,822

Least Common Multiple of Numerators i.e. LCM of 74,275,822 is 8363850.

GCF of Denominators means GCF of 24,56,745 as per the given fractions.

GCF of 24,56,745 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,275,822

LCM of Fractions 74/24,275/56,822/745 is 8363850

2 74, 275, 822
37, 275, 411

∴ So the LCM of the given numbers is 2 x 37 x 275 x 411 = 8363850

Least Common Multiple of 74,275,822 with GCF Formula

Least Common Multiple of 74,275,822 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 74,275,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,275,822) = 1

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

GCF(74,275,822) x common factors =1 x 2 = 2

LCM(74,275,822) = ( 74 × 275 × 822 ) / 2

LCM(74,275,822) = 16727700 / 2

LCM(74,275,822) = 8363850


Lets's calculate GCF of 24,56,745

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8363850/1

Therefore the LCM of Fractions 74/24,275/56,822/745 is 8363850

Greatest Common Factor of 24,56,745 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,56,745 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 56

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

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

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors 24,56,745 . The biggest common factor number is the GCF number.
So the greatest common factor 24,56,745 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 74/24, 275/56, 822/745

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 74/24, 275/56, 822/745?

Answer: LCM of Numerators as per given numbers 74/24, 275/56, 822/745 is

LCM of Numerators i.e. for 74,275,822 is 8363850

GCF of denominators i.e. for 24,56,745 is 1.

Thus, LCM of Fractions is 8363850.Finally, LCM of Fractions for 74/24, 275/56, 822/745 is 8363850.