Least Common Multiple of 24/79, 17/30, 911/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/79, 17/30, 911/762 quickly i.e. 371688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/79, 17/30, 911/762 is 371688.

LCM(24/79, 17/30, 911/762) = 371688

LCM of 24/79, 17/30, 911/762

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 24/79,17/30,911/762

Given numbers are 24/79,17/30,911/762

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 24,17,911

Least Common Multiple of Numerators i.e. LCM of 24,17,911 is 371688.

GCF of Denominators means GCF of 79,30,762 as per the given fractions.

GCF of 79,30,762 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,17,911

LCM of Fractions 24/79,17/30,911/762 is 371688

Given numbers has no common factors except 1. So, there LCM is their product i.e 371688

Least Common Multiple of 24,17,911 with GCF Formula

Least Common Multiple of 24,17,911 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 24,17,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,17,911) = 1

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

GCF(24,17,911) x common factors =1 x 1 = 1

LCM(24,17,911) = ( 24 × 17 × 911 ) / 1

LCM(24,17,911) = 371688 / 1

LCM(24,17,911) = 371688


Lets's calculate GCF of 79,30,762

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371688/1

Therefore the LCM of Fractions 24/79,17/30,911/762 is 371688

Greatest Common Factor of 79,30,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,30,762 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 79,30,762 . The biggest common factor number is the GCF number.
So the greatest common factor 79,30,762 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 24/79, 17/30, 911/762

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 24/79, 17/30, 911/762?

Answer: LCM of Numerators as per given numbers 24/79, 17/30, 911/762 is

LCM of Numerators i.e. for 24,17,911 is 371688

GCF of denominators i.e. for 79,30,762 is 1.

Thus, LCM of Fractions is 371688.Finally, LCM of Fractions for 24/79, 17/30, 911/762 is 371688.