Least Common Multiple of 659/80, 560/3628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 659/80, 560/3628 quickly i.e. 92260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/80, 560/3628 is 92260.

LCM(659/80, 560/3628) = 92260

LCM of 659/80, 560/3628

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 659/80,560/3628

Given numbers are 659/80,560/3628

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 659,560

Least Common Multiple of Numerators i.e. LCM of 659,560 is 369040.

GCF of Denominators means GCF of 80,3628 as per the given fractions.

GCF of 80,3628 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,560

LCM of Fractions 659/80,560/3628 is 92260

Given numbers has no common factors except 1. So, there LCM is their product i.e 369040

Least Common Multiple of 659,560 with GCF Formula

Least Common Multiple of 659,560 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 659,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,560) = 1

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

GCF(659,560) x common factors =1 x 1 = 1

LCM(659,560) = ( 659 × 560 ) / 1

LCM(659,560) = 369040 / 1

LCM(659,560) = 369040


Lets's calculate GCF of 80,3628

2 80, 3628
2 40, 1814
20, 907

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369040/4

Therefore the LCM of Fractions 659/80,560/3628 is 92260

Greatest Common Factor of 80,3628 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,3628 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1,2,4,907,1814,3628

Greatest Common Factor

We found the factors 80,3628 . The biggest common factor number is the GCF number.
So the greatest common factor 80,3628 is 4.


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 659/80, 560/3628

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 659/80, 560/3628?

Answer: LCM of Numerators as per given numbers 659/80, 560/3628 is

LCM of Numerators i.e. for 659,560 is 369040

GCF of denominators i.e. for 80,3628 is 4.

Thus, LCM of Fractions is 92260.Finally, LCM of Fractions for 659/80, 560/3628 is 92260.