Least Common Multiple of 26/967, 37/872, 809/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/967, 37/872, 809/784 quickly i.e. 778258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/967, 37/872, 809/784 is 778258.

LCM(26/967, 37/872, 809/784) = 778258

LCM of 26/967, 37/872, 809/784

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 26/967,37/872,809/784

Given numbers are 26/967,37/872,809/784

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 26,37,809

Least Common Multiple of Numerators i.e. LCM of 26,37,809 is 778258.

GCF of Denominators means GCF of 967,872,784 as per the given fractions.

GCF of 967,872,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,37,809

LCM of Fractions 26/967,37/872,809/784 is 778258

Given numbers has no common factors except 1. So, there LCM is their product i.e 778258

Least Common Multiple of 26,37,809 with GCF Formula

Least Common Multiple of 26,37,809 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 26,37,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,37,809) = 1

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

GCF(26,37,809) x common factors =1 x 1 = 1

LCM(26,37,809) = ( 26 × 37 × 809 ) / 1

LCM(26,37,809) = 778258 / 1

LCM(26,37,809) = 778258


Lets's calculate GCF of 967,872,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 778258/1

Therefore the LCM of Fractions 26/967,37/872,809/784 is 778258

Greatest Common Factor of 967,872,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,872,784 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 967,872,784 . The biggest common factor number is the GCF number.
So the greatest common factor 967,872,784 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 26/967, 37/872, 809/784

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 26/967, 37/872, 809/784?

Answer: LCM of Numerators as per given numbers 26/967, 37/872, 809/784 is

LCM of Numerators i.e. for 26,37,809 is 778258

GCF of denominators i.e. for 967,872,784 is 1.

Thus, LCM of Fractions is 778258.Finally, LCM of Fractions for 26/967, 37/872, 809/784 is 778258.