Least Common Multiple of 480/77, 914/25, 173/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/77, 914/25, 173/483 quickly i.e. 37949280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/77, 914/25, 173/483 is 37949280.

LCM(480/77, 914/25, 173/483) = 37949280

LCM of 480/77, 914/25, 173/483

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 480/77,914/25,173/483

Given numbers are 480/77,914/25,173/483

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 480,914,173

Least Common Multiple of Numerators i.e. LCM of 480,914,173 is 37949280.

GCF of Denominators means GCF of 77,25,483 as per the given fractions.

GCF of 77,25,483 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,914,173

LCM of Fractions 480/77,914/25,173/483 is 37949280

2 480, 914, 173
240, 457, 173

∴ So the LCM of the given numbers is 2 x 240 x 457 x 173 = 37949280

Least Common Multiple of 480,914,173 with GCF Formula

Least Common Multiple of 480,914,173 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 480,914,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,914,173) = 1

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

GCF(480,914,173) x common factors =1 x 2 = 2

LCM(480,914,173) = ( 480 × 914 × 173 ) / 2

LCM(480,914,173) = 75898560 / 2

LCM(480,914,173) = 37949280


Lets's calculate GCF of 77,25,483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37949280/1

Therefore the LCM of Fractions 480/77,914/25,173/483 is 37949280

Greatest Common Factor of 77,25,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,25,483 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 77,25,483 . The biggest common factor number is the GCF number.
So the greatest common factor 77,25,483 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 480/77, 914/25, 173/483

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 480/77, 914/25, 173/483?

Answer: LCM of Numerators as per given numbers 480/77, 914/25, 173/483 is

LCM of Numerators i.e. for 480,914,173 is 37949280

GCF of denominators i.e. for 77,25,483 is 1.

Thus, LCM of Fractions is 37949280.Finally, LCM of Fractions for 480/77, 914/25, 173/483 is 37949280.