Least Common Multiple of 74/22, 15/10, 787/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/22, 15/10, 787/722 quickly i.e. 436785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/22, 15/10, 787/722 is 436785.

LCM(74/22, 15/10, 787/722) = 436785

LCM of 74/22, 15/10, 787/722

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 74/22,15/10,787/722

Given numbers are 74/22,15/10,787/722

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 74,15,787

Least Common Multiple of Numerators i.e. LCM of 74,15,787 is 873570.

GCF of Denominators means GCF of 22,10,722 as per the given fractions.

GCF of 22,10,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,15,787

LCM of Fractions 74/22,15/10,787/722 is 436785

Given numbers has no common factors except 1. So, there LCM is their product i.e 873570

Least Common Multiple of 74,15,787 with GCF Formula

Least Common Multiple of 74,15,787 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 74,15,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,15,787) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(74,15,787) x common factors =1 x 1 = 1

LCM(74,15,787) = ( 74 × 15 × 787 ) / 1

LCM(74,15,787) = 873570 / 1

LCM(74,15,787) = 873570


Lets's calculate GCF of 22,10,722

2 22, 10, 722
11, 5, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 873570/2

Therefore the LCM of Fractions 74/22,15/10,787/722 is 436785

Greatest Common Factor of 22,10,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,10,722 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 22,10,722 . The biggest common factor number is the GCF number.
So the greatest common factor 22,10,722 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 74/22, 15/10, 787/722

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 74/22, 15/10, 787/722?

Answer: LCM of Numerators as per given numbers 74/22, 15/10, 787/722 is

LCM of Numerators i.e. for 74,15,787 is 873570

GCF of denominators i.e. for 22,10,722 is 2.

Thus, LCM of Fractions is 436785.Finally, LCM of Fractions for 74/22, 15/10, 787/722 is 436785.