Least Common Multiple of 420/99, 960/6817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/99, 960/6817 quickly i.e. 6720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/99, 960/6817 is 6720.

LCM(420/99, 960/6817) = 6720

LCM of 420/99, 960/6817

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 420/99,960/6817

Given numbers are 420/99,960/6817

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 420,960

Least Common Multiple of Numerators i.e. LCM of 420,960 is 6720.

GCF of Denominators means GCF of 99,6817 as per the given fractions.

GCF of 99,6817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,960

LCM of Fractions 420/99,960/6817 is 6720

2 420, 960
2 210, 480
3 105, 240
5 35, 80
7, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 16 = 6720

Least Common Multiple of 420,960 with GCF Formula

Least Common Multiple of 420,960 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 420,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,960) = 60

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

GCF(420,960) x common factors =60 x 1 = 60

LCM(420,960) = ( 420 × 960 ) / 60

LCM(420,960) = 403200 / 60

LCM(420,960) = 6720


Lets's calculate GCF of 99,6817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6720/1

Therefore the LCM of Fractions 420/99,960/6817 is 6720

Greatest Common Factor of 99,6817 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,6817 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 6817

List of positive integer factors of 6817 that divides 6817 without a remainder.

1,17,401,6817

Greatest Common Factor

We found the factors 99,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 99,6817 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 420/99, 960/6817

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 420/99, 960/6817?

Answer: LCM of Numerators as per given numbers 420/99, 960/6817 is

LCM of Numerators i.e. for 420,960 is 6720

GCF of denominators i.e. for 99,6817 is 1.

Thus, LCM of Fractions is 6720.Finally, LCM of Fractions for 420/99, 960/6817 is 6720.