Least Common Multiple of 641/308, 633/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 641/308, 633/757 quickly i.e. 405753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 641/308, 633/757 is 405753.

LCM(641/308, 633/757) = 405753

LCM of 641/308, 633/757

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 641/308,633/757

Given numbers are 641/308,633/757

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 641,633

Least Common Multiple of Numerators i.e. LCM of 641,633 is 405753.

GCF of Denominators means GCF of 308,757 as per the given fractions.

GCF of 308,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 641,633

LCM of Fractions 641/308,633/757 is 405753

Given numbers has no common factors except 1. So, there LCM is their product i.e 405753

Least Common Multiple of 641,633 with GCF Formula

Least Common Multiple of 641,633 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 641,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,633) = 1

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

GCF(641,633) x common factors =1 x 1 = 1

LCM(641,633) = ( 641 × 633 ) / 1

LCM(641,633) = 405753 / 1

LCM(641,633) = 405753


Lets's calculate GCF of 308,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405753/1

Therefore the LCM of Fractions 641/308,633/757 is 405753

Greatest Common Factor of 308,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,757 By Matching Biggest Common Factor Method

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 308,757 . The biggest common factor number is the GCF number.
So the greatest common factor 308,757 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 641/308, 633/757

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 641/308, 633/757?

Answer: LCM of Numerators as per given numbers 641/308, 633/757 is

LCM of Numerators i.e. for 641,633 is 405753

GCF of denominators i.e. for 308,757 is 1.

Thus, LCM of Fractions is 405753.Finally, LCM of Fractions for 641/308, 633/757 is 405753.