Least Common Multiple of 355/66, 107/5641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 355/66, 107/5641 quickly i.e. 37985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 355/66, 107/5641 is 37985.

LCM(355/66, 107/5641) = 37985

LCM of 355/66, 107/5641

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 355/66,107/5641

Given numbers are 355/66,107/5641

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 355,107

Least Common Multiple of Numerators i.e. LCM of 355,107 is 37985.

GCF of Denominators means GCF of 66,5641 as per the given fractions.

GCF of 66,5641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 355,107

LCM of Fractions 355/66,107/5641 is 37985

Given numbers has no common factors except 1. So, there LCM is their product i.e 37985

Least Common Multiple of 355,107 with GCF Formula

Least Common Multiple of 355,107 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 355,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,107) = 1

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

GCF(355,107) x common factors =1 x 1 = 1

LCM(355,107) = ( 355 × 107 ) / 1

LCM(355,107) = 37985 / 1

LCM(355,107) = 37985


Lets's calculate GCF of 66,5641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37985/1

Therefore the LCM of Fractions 355/66,107/5641 is 37985

Greatest Common Factor of 66,5641 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,5641 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 5641

List of positive integer factors of 5641 that divides 5641 without a remainder.

1,5641

Greatest Common Factor

We found the factors 66,5641 . The biggest common factor number is the GCF number.
So the greatest common factor 66,5641 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 355/66, 107/5641

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 355/66, 107/5641?

Answer: LCM of Numerators as per given numbers 355/66, 107/5641 is

LCM of Numerators i.e. for 355,107 is 37985

GCF of denominators i.e. for 66,5641 is 1.

Thus, LCM of Fractions is 37985.Finally, LCM of Fractions for 355/66, 107/5641 is 37985.