Least Common Multiple of 957/480, 3631/9917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 957/480, 3631/9917 quickly i.e. 3474867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 957/480, 3631/9917 is 3474867.

LCM(957/480, 3631/9917) = 3474867

LCM of 957/480, 3631/9917

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 957/480,3631/9917

Given numbers are 957/480,3631/9917

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 957,3631

Least Common Multiple of Numerators i.e. LCM of 957,3631 is 3474867.

GCF of Denominators means GCF of 480,9917 as per the given fractions.

GCF of 480,9917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 957,3631

LCM of Fractions 957/480,3631/9917 is 3474867

Given numbers has no common factors except 1. So, there LCM is their product i.e 3474867

Least Common Multiple of 957,3631 with GCF Formula

Least Common Multiple of 957,3631 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 957,3631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(957,3631) = 1

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

GCF(957,3631) x common factors =1 x 1 = 1

LCM(957,3631) = ( 957 × 3631 ) / 1

LCM(957,3631) = 3474867 / 1

LCM(957,3631) = 3474867


Lets's calculate GCF of 480,9917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3474867/1

Therefore the LCM of Fractions 957/480,3631/9917 is 3474867

Greatest Common Factor of 480,9917 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,9917 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 9917

List of positive integer factors of 9917 that divides 9917 without a remainder.

1,47,211,9917

Greatest Common Factor

We found the factors 480,9917 . The biggest common factor number is the GCF number.
So the greatest common factor 480,9917 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 957/480, 3631/9917

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 957/480, 3631/9917?

Answer: LCM of Numerators as per given numbers 957/480, 3631/9917 is

LCM of Numerators i.e. for 957,3631 is 3474867

GCF of denominators i.e. for 480,9917 is 1.

Thus, LCM of Fractions is 3474867.Finally, LCM of Fractions for 957/480, 3631/9917 is 3474867.