Least Common Multiple of 25/484, 37/899, 977/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/484, 37/899, 977/496 quickly i.e. 903725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/484, 37/899, 977/496 is 903725.

LCM(25/484, 37/899, 977/496) = 903725

LCM of 25/484, 37/899, 977/496

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 25/484,37/899,977/496

Given numbers are 25/484,37/899,977/496

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 25,37,977

Least Common Multiple of Numerators i.e. LCM of 25,37,977 is 903725.

GCF of Denominators means GCF of 484,899,496 as per the given fractions.

GCF of 484,899,496 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,37,977

LCM of Fractions 25/484,37/899,977/496 is 903725

Given numbers has no common factors except 1. So, there LCM is their product i.e 903725

Least Common Multiple of 25,37,977 with GCF Formula

Least Common Multiple of 25,37,977 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 25,37,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,37,977) = 1

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

GCF(25,37,977) x common factors =1 x 1 = 1

LCM(25,37,977) = ( 25 × 37 × 977 ) / 1

LCM(25,37,977) = 903725 / 1

LCM(25,37,977) = 903725


Lets's calculate GCF of 484,899,496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 903725/1

Therefore the LCM of Fractions 25/484,37/899,977/496 is 903725

Greatest Common Factor of 484,899,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,899,496 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 484,899,496 . The biggest common factor number is the GCF number.
So the greatest common factor 484,899,496 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 25/484, 37/899, 977/496

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 25/484, 37/899, 977/496?

Answer: LCM of Numerators as per given numbers 25/484, 37/899, 977/496 is

LCM of Numerators i.e. for 25,37,977 is 903725

GCF of denominators i.e. for 484,899,496 is 1.

Thus, LCM of Fractions is 903725.Finally, LCM of Fractions for 25/484, 37/899, 977/496 is 903725.