Least Common Multiple of 181/749, 3810/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 181/749, 3810/326 quickly i.e. 689610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 181/749, 3810/326 is 689610.

LCM(181/749, 3810/326) = 689610

LCM of 181/749, 3810/326

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 181/749,3810/326

Given numbers are 181/749,3810/326

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 181,3810

Least Common Multiple of Numerators i.e. LCM of 181,3810 is 689610.

GCF of Denominators means GCF of 749,326 as per the given fractions.

GCF of 749,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 181,3810

LCM of Fractions 181/749,3810/326 is 689610

Given numbers has no common factors except 1. So, there LCM is their product i.e 689610

Least Common Multiple of 181,3810 with GCF Formula

Least Common Multiple of 181,3810 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 181,3810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,3810) = 1

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

GCF(181,3810) x common factors =1 x 1 = 1

LCM(181,3810) = ( 181 × 3810 ) / 1

LCM(181,3810) = 689610 / 1

LCM(181,3810) = 689610


Lets's calculate GCF of 749,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 689610/1

Therefore the LCM of Fractions 181/749,3810/326 is 689610

Greatest Common Factor of 749,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,326 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 749,326 . The biggest common factor number is the GCF number.
So the greatest common factor 749,326 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 181/749, 3810/326

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 181/749, 3810/326?

Answer: LCM of Numerators as per given numbers 181/749, 3810/326 is

LCM of Numerators i.e. for 181,3810 is 689610

GCF of denominators i.e. for 749,326 is 1.

Thus, LCM of Fractions is 689610.Finally, LCM of Fractions for 181/749, 3810/326 is 689610.