Least Common Multiple of 9517/987, 4009/6951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9517/987, 4009/6951 quickly i.e. 38153653/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9517/987, 4009/6951 is 38153653/21.

LCM(9517/987, 4009/6951) = 38153653/21

LCM of 9517/987, 4009/6951

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 9517/987,4009/6951

Given numbers are 9517/987,4009/6951

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 9517,4009

Least Common Multiple of Numerators i.e. LCM of 9517,4009 is 38153653.

GCF of Denominators means GCF of 987,6951 as per the given fractions.

GCF of 987,6951 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9517,4009

LCM of Fractions 9517/987,4009/6951 is 38153653/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 38153653

Least Common Multiple of 9517,4009 with GCF Formula

Least Common Multiple of 9517,4009 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 9517,4009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9517,4009) = 1

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

GCF(9517,4009) x common factors =1 x 1 = 1

LCM(9517,4009) = ( 9517 × 4009 ) / 1

LCM(9517,4009) = 38153653 / 1

LCM(9517,4009) = 38153653


Lets's calculate GCF of 987,6951

3 987, 6951
7 329, 2317
47, 331

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38153653/21

Therefore the LCM of Fractions 9517/987,4009/6951 is 38153653/21

Greatest Common Factor of 987,6951 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,6951 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 6951

List of positive integer factors of 6951 that divides 6951 without a remainder.

1,3,7,21,331,993,2317,6951

Greatest Common Factor

We found the factors 987,6951 . The biggest common factor number is the GCF number.
So the greatest common factor 987,6951 is 21.


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 9517/987, 4009/6951

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 9517/987, 4009/6951?

Answer: LCM of Numerators as per given numbers 9517/987, 4009/6951 is

LCM of Numerators i.e. for 9517,4009 is 38153653

GCF of denominators i.e. for 987,6951 is 21.

Thus, LCM of Fractions is 38153653/21.Finally, LCM of Fractions for 9517/987, 4009/6951 is 38153653/21.