Least Common Multiple of 80/672, 24/464, 788/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/672, 24/464, 788/499 quickly i.e. 47280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/672, 24/464, 788/499 is 47280.

LCM(80/672, 24/464, 788/499) = 47280

LCM of 80/672, 24/464, 788/499

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 80/672,24/464,788/499

Given numbers are 80/672,24/464,788/499

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 80,24,788

Least Common Multiple of Numerators i.e. LCM of 80,24,788 is 47280.

GCF of Denominators means GCF of 672,464,499 as per the given fractions.

GCF of 672,464,499 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,24,788

LCM of Fractions 80/672,24/464,788/499 is 47280

2 80, 24, 788
2 40, 12, 394
2 20, 6, 197
10, 3, 197

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 3 x 197 = 47280

Least Common Multiple of 80,24,788 with GCF Formula

Least Common Multiple of 80,24,788 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 80,24,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,24,788) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(80,24,788) x common factors =4 x 8 = 32

LCM(80,24,788) = ( 80 × 24 × 788 ) / 32

LCM(80,24,788) = 1512960 / 32

LCM(80,24,788) = 47280


Lets's calculate GCF of 672,464,499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47280/1

Therefore the LCM of Fractions 80/672,24/464,788/499 is 47280

Greatest Common Factor of 672,464,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,464,499 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Greatest Common Factor

We found the factors 672,464,499 . The biggest common factor number is the GCF number.
So the greatest common factor 672,464,499 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 80/672, 24/464, 788/499

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 80/672, 24/464, 788/499?

Answer: LCM of Numerators as per given numbers 80/672, 24/464, 788/499 is

LCM of Numerators i.e. for 80,24,788 is 47280

GCF of denominators i.e. for 672,464,499 is 1.

Thus, LCM of Fractions is 47280.Finally, LCM of Fractions for 80/672, 24/464, 788/499 is 47280.