Least Common Multiple of 37/309, 527/841, 365/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/309, 527/841, 365/668 quickly i.e. 7117135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/309, 527/841, 365/668 is 7117135.

LCM(37/309, 527/841, 365/668) = 7117135

LCM of 37/309, 527/841, 365/668

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 37/309,527/841,365/668

Given numbers are 37/309,527/841,365/668

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 37,527,365

Least Common Multiple of Numerators i.e. LCM of 37,527,365 is 7117135.

GCF of Denominators means GCF of 309,841,668 as per the given fractions.

GCF of 309,841,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,527,365

LCM of Fractions 37/309,527/841,365/668 is 7117135

Given numbers has no common factors except 1. So, there LCM is their product i.e 7117135

Least Common Multiple of 37,527,365 with GCF Formula

Least Common Multiple of 37,527,365 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 37,527,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,527,365) = 1

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

GCF(37,527,365) x common factors =1 x 1 = 1

LCM(37,527,365) = ( 37 × 527 × 365 ) / 1

LCM(37,527,365) = 7117135 / 1

LCM(37,527,365) = 7117135


Lets's calculate GCF of 309,841,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7117135/1

Therefore the LCM of Fractions 37/309,527/841,365/668 is 7117135

Greatest Common Factor of 309,841,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 309,841,668 By Matching Biggest Common Factor Method

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 309,841,668 . The biggest common factor number is the GCF number.
So the greatest common factor 309,841,668 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 37/309, 527/841, 365/668

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 37/309, 527/841, 365/668?

Answer: LCM of Numerators as per given numbers 37/309, 527/841, 365/668 is

LCM of Numerators i.e. for 37,527,365 is 7117135

GCF of denominators i.e. for 309,841,668 is 1.

Thus, LCM of Fractions is 7117135.Finally, LCM of Fractions for 37/309, 527/841, 365/668 is 7117135.