Least Common Multiple of 485/420, 6640/3661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 485/420, 6640/3661 quickly i.e. 644080/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 485/420, 6640/3661 is 644080/7.

LCM(485/420, 6640/3661) = 644080/7

LCM of 485/420, 6640/3661

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 485/420,6640/3661

Given numbers are 485/420,6640/3661

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 485,6640

Least Common Multiple of Numerators i.e. LCM of 485,6640 is 644080.

GCF of Denominators means GCF of 420,3661 as per the given fractions.

GCF of 420,3661 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 485,6640

LCM of Fractions 485/420,6640/3661 is 644080/7

5 485, 6640
97, 1328

∴ So the LCM of the given numbers is 5 x 97 x 1328 = 644080

Least Common Multiple of 485,6640 with GCF Formula

Least Common Multiple of 485,6640 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 485,6640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(485,6640) = 5

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

GCF(485,6640) x common factors =5 x 1 = 5

LCM(485,6640) = ( 485 × 6640 ) / 5

LCM(485,6640) = 3220400 / 5

LCM(485,6640) = 644080


Lets's calculate GCF of 420,3661

7 420, 3661
60, 523

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644080/7

Therefore the LCM of Fractions 485/420,6640/3661 is 644080/7

Greatest Common Factor of 420,3661 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,3661 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 3661

List of positive integer factors of 3661 that divides 3661 without a remainder.

1,7,523,3661

Greatest Common Factor

We found the factors 420,3661 . The biggest common factor number is the GCF number.
So the greatest common factor 420,3661 is 7.


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 485/420, 6640/3661

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 485/420, 6640/3661?

Answer: LCM of Numerators as per given numbers 485/420, 6640/3661 is

LCM of Numerators i.e. for 485,6640 is 644080

GCF of denominators i.e. for 420,3661 is 7.

Thus, LCM of Fractions is 644080/7.Finally, LCM of Fractions for 485/420, 6640/3661 is 644080/7.