Least Common Multiple of 41/914, 26/670, 797/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/914, 26/670, 797/796 quickly i.e. 424801 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/914, 26/670, 797/796 is 424801.

LCM(41/914, 26/670, 797/796) = 424801

LCM of 41/914, 26/670, 797/796

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 41/914,26/670,797/796

Given numbers are 41/914,26/670,797/796

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 41,26,797

Least Common Multiple of Numerators i.e. LCM of 41,26,797 is 849602.

GCF of Denominators means GCF of 914,670,796 as per the given fractions.

GCF of 914,670,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,26,797

LCM of Fractions 41/914,26/670,797/796 is 424801

Given numbers has no common factors except 1. So, there LCM is their product i.e 849602

Least Common Multiple of 41,26,797 with GCF Formula

Least Common Multiple of 41,26,797 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 41,26,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,26,797) = 1

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

GCF(41,26,797) x common factors =1 x 1 = 1

LCM(41,26,797) = ( 41 × 26 × 797 ) / 1

LCM(41,26,797) = 849602 / 1

LCM(41,26,797) = 849602


Lets's calculate GCF of 914,670,796

2 914, 670, 796
457, 335, 398

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 849602/2

Therefore the LCM of Fractions 41/914,26/670,797/796 is 424801

Greatest Common Factor of 914,670,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,670,796 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 914,670,796 . The biggest common factor number is the GCF number.
So the greatest common factor 914,670,796 is 2.


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 41/914, 26/670, 797/796

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 41/914, 26/670, 797/796?

Answer: LCM of Numerators as per given numbers 41/914, 26/670, 797/796 is

LCM of Numerators i.e. for 41,26,797 is 849602

GCF of denominators i.e. for 914,670,796 is 2.

Thus, LCM of Fractions is 424801.Finally, LCM of Fractions for 41/914, 26/670, 797/796 is 424801.