Least Common Multiple of 6917/961, 8017/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6917/961, 8017/120 quickly i.e. 55453589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6917/961, 8017/120 is 55453589.

LCM(6917/961, 8017/120) = 55453589

LCM of 6917/961, 8017/120

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 6917/961,8017/120

Given numbers are 6917/961,8017/120

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 6917,8017

Least Common Multiple of Numerators i.e. LCM of 6917,8017 is 55453589.

GCF of Denominators means GCF of 961,120 as per the given fractions.

GCF of 961,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6917,8017

LCM of Fractions 6917/961,8017/120 is 55453589

Given numbers has no common factors except 1. So, there LCM is their product i.e 55453589

Least Common Multiple of 6917,8017 with GCF Formula

Least Common Multiple of 6917,8017 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 6917,8017 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6917,8017) = 1

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

GCF(6917,8017) x common factors =1 x 1 = 1

LCM(6917,8017) = ( 6917 × 8017 ) / 1

LCM(6917,8017) = 55453589 / 1

LCM(6917,8017) = 55453589


Lets's calculate GCF of 961,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55453589/1

Therefore the LCM of Fractions 6917/961,8017/120 is 55453589

Greatest Common Factor of 961,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,120 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 961,120 . The biggest common factor number is the GCF number.
So the greatest common factor 961,120 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 6917/961, 8017/120

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 6917/961, 8017/120?

Answer: LCM of Numerators as per given numbers 6917/961, 8017/120 is

LCM of Numerators i.e. for 6917,8017 is 55453589

GCF of denominators i.e. for 961,120 is 1.

Thus, LCM of Fractions is 55453589.Finally, LCM of Fractions for 6917/961, 8017/120 is 55453589.