Least Common Multiple of 37/26, 809/71, 569/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/26, 809/71, 569/774 quickly i.e. 17031877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/26, 809/71, 569/774 is 17031877.

LCM(37/26, 809/71, 569/774) = 17031877

LCM of 37/26, 809/71, 569/774

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 37/26,809/71,569/774

Given numbers are 37/26,809/71,569/774

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 37,809,569

Least Common Multiple of Numerators i.e. LCM of 37,809,569 is 17031877.

GCF of Denominators means GCF of 26,71,774 as per the given fractions.

GCF of 26,71,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,809,569

LCM of Fractions 37/26,809/71,569/774 is 17031877

Given numbers has no common factors except 1. So, there LCM is their product i.e 17031877

Least Common Multiple of 37,809,569 with GCF Formula

Least Common Multiple of 37,809,569 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 37,809,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,809,569) = 1

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

GCF(37,809,569) x common factors =1 x 1 = 1

LCM(37,809,569) = ( 37 × 809 × 569 ) / 1

LCM(37,809,569) = 17031877 / 1

LCM(37,809,569) = 17031877


Lets's calculate GCF of 26,71,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17031877/1

Therefore the LCM of Fractions 37/26,809/71,569/774 is 17031877

Greatest Common Factor of 26,71,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,71,774 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 26,71,774 . The biggest common factor number is the GCF number.
So the greatest common factor 26,71,774 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 37/26, 809/71, 569/774

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 37/26, 809/71, 569/774?

Answer: LCM of Numerators as per given numbers 37/26, 809/71, 569/774 is

LCM of Numerators i.e. for 37,809,569 is 17031877

GCF of denominators i.e. for 26,71,774 is 1.

Thus, LCM of Fractions is 17031877.Finally, LCM of Fractions for 37/26, 809/71, 569/774 is 17031877.