Least Common Multiple of 120/816, 3659/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/816, 3659/501 quickly i.e. 146360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/816, 3659/501 is 146360.

LCM(120/816, 3659/501) = 146360

LCM of 120/816, 3659/501

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 120/816,3659/501

Given numbers are 120/816,3659/501

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 120,3659

Least Common Multiple of Numerators i.e. LCM of 120,3659 is 439080.

GCF of Denominators means GCF of 816,501 as per the given fractions.

GCF of 816,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,3659

LCM of Fractions 120/816,3659/501 is 146360

Given numbers has no common factors except 1. So, there LCM is their product i.e 439080

Least Common Multiple of 120,3659 with GCF Formula

Least Common Multiple of 120,3659 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 120,3659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,3659) = 1

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

GCF(120,3659) x common factors =1 x 1 = 1

LCM(120,3659) = ( 120 × 3659 ) / 1

LCM(120,3659) = 439080 / 1

LCM(120,3659) = 439080


Lets's calculate GCF of 816,501

3 816, 501
272, 167

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 439080/3

Therefore the LCM of Fractions 120/816,3659/501 is 146360

Greatest Common Factor of 816,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,501 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 816,501 . The biggest common factor number is the GCF number.
So the greatest common factor 816,501 is 3.


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 120/816, 3659/501

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 120/816, 3659/501?

Answer: LCM of Numerators as per given numbers 120/816, 3659/501 is

LCM of Numerators i.e. for 120,3659 is 439080

GCF of denominators i.e. for 816,501 is 3.

Thus, LCM of Fractions is 146360.Finally, LCM of Fractions for 120/816, 3659/501 is 146360.