Least Common Multiple of 25/317, 90/735, 743/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/317, 90/735, 743/977 quickly i.e. 334350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/317, 90/735, 743/977 is 334350.

LCM(25/317, 90/735, 743/977) = 334350

LCM of 25/317, 90/735, 743/977

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 25/317,90/735,743/977

Given numbers are 25/317,90/735,743/977

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 25,90,743

Least Common Multiple of Numerators i.e. LCM of 25,90,743 is 334350.

GCF of Denominators means GCF of 317,735,977 as per the given fractions.

GCF of 317,735,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,90,743

LCM of Fractions 25/317,90/735,743/977 is 334350

5 25, 90, 743
5, 18, 743

∴ So the LCM of the given numbers is 5 x 5 x 18 x 743 = 334350

Least Common Multiple of 25,90,743 with GCF Formula

Least Common Multiple of 25,90,743 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 25,90,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,90,743) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,90,743) x common factors =1 x 5 = 5

LCM(25,90,743) = ( 25 × 90 × 743 ) / 5

LCM(25,90,743) = 1671750 / 5

LCM(25,90,743) = 334350


Lets's calculate GCF of 317,735,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334350/1

Therefore the LCM of Fractions 25/317,90/735,743/977 is 334350

Greatest Common Factor of 317,735,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,735,977 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 317,735,977 . The biggest common factor number is the GCF number.
So the greatest common factor 317,735,977 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 25/317, 90/735, 743/977

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 25/317, 90/735, 743/977?

Answer: LCM of Numerators as per given numbers 25/317, 90/735, 743/977 is

LCM of Numerators i.e. for 25,90,743 is 334350

GCF of denominators i.e. for 317,735,977 is 1.

Thus, LCM of Fractions is 334350.Finally, LCM of Fractions for 25/317, 90/735, 743/977 is 334350.