Least Common Multiple of 8746/914, 8116/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8746/914, 8116/634 quickly i.e. 17745634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8746/914, 8116/634 is 17745634.

LCM(8746/914, 8116/634) = 17745634

LCM of 8746/914, 8116/634

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 8746/914,8116/634

Given numbers are 8746/914,8116/634

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 8746,8116

Least Common Multiple of Numerators i.e. LCM of 8746,8116 is 35491268.

GCF of Denominators means GCF of 914,634 as per the given fractions.

GCF of 914,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8746,8116

LCM of Fractions 8746/914,8116/634 is 17745634

2 8746, 8116
4373, 4058

∴ So the LCM of the given numbers is 2 x 4373 x 4058 = 35491268

Least Common Multiple of 8746,8116 with GCF Formula

Least Common Multiple of 8746,8116 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 8746,8116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8746,8116) = 2

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

GCF(8746,8116) x common factors =2 x 1 = 2

LCM(8746,8116) = ( 8746 × 8116 ) / 2

LCM(8746,8116) = 70982536 / 2

LCM(8746,8116) = 35491268


Lets's calculate GCF of 914,634

2 914, 634
457, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35491268/2

Therefore the LCM of Fractions 8746/914,8116/634 is 17745634

Greatest Common Factor of 914,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,634 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 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 914,634 . The biggest common factor number is the GCF number.
So the greatest common factor 914,634 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 8746/914, 8116/634

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 8746/914, 8116/634?

Answer: LCM of Numerators as per given numbers 8746/914, 8116/634 is

LCM of Numerators i.e. for 8746,8116 is 35491268

GCF of denominators i.e. for 914,634 is 2.

Thus, LCM of Fractions is 17745634.Finally, LCM of Fractions for 8746/914, 8116/634 is 17745634.