Least Common Multiple of 9687/485, 3617/485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9687/485, 3617/485 quickly i.e. 35037879/485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9687/485, 3617/485 is 35037879/485.

LCM(9687/485, 3617/485) = 35037879/485

LCM of 9687/485, 3617/485

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 9687/485,3617/485

Given numbers are 9687/485,3617/485

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 9687,3617

Least Common Multiple of Numerators i.e. LCM of 9687,3617 is 35037879.

GCF of Denominators means GCF of 485,485 as per the given fractions.

GCF of 485,485 is 485 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9687,3617

LCM of Fractions 9687/485,3617/485 is 35037879/485

Given numbers has no common factors except 1. So, there LCM is their product i.e 35037879

Least Common Multiple of 9687,3617 with GCF Formula

Least Common Multiple of 9687,3617 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 9687,3617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9687,3617) = 1

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

GCF(9687,3617) x common factors =1 x 1 = 1

LCM(9687,3617) = ( 9687 × 3617 ) / 1

LCM(9687,3617) = 35037879 / 1

LCM(9687,3617) = 35037879


Lets's calculate GCF of 485,485

5 485, 485
97 97, 97
1, 1

∴ So the GCF of the given numbers is 5 x 97 = 485

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35037879/485

Therefore the LCM of Fractions 9687/485,3617/485 is 35037879/485

Greatest Common Factor of 485,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 485,485 By Matching Biggest Common Factor Method

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 485,485 . The biggest common factor number is the GCF number.
So the greatest common factor 485,485 is 485.


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 9687/485, 3617/485

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 9687/485, 3617/485?

Answer: LCM of Numerators as per given numbers 9687/485, 3617/485 is

LCM of Numerators i.e. for 9687,3617 is 35037879

GCF of denominators i.e. for 485,485 is 485.

Thus, LCM of Fractions is 35037879/485.Finally, LCM of Fractions for 9687/485, 3617/485 is 35037879/485.