Least Common Multiple of 8786/44, 1804/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8786/44, 1804/704 quickly i.e. 180113 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8786/44, 1804/704 is 180113.

LCM(8786/44, 1804/704) = 180113

LCM of 8786/44, 1804/704

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 8786/44,1804/704

Given numbers are 8786/44,1804/704

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 8786,1804

Least Common Multiple of Numerators i.e. LCM of 8786,1804 is 7924972.

GCF of Denominators means GCF of 44,704 as per the given fractions.

GCF of 44,704 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8786,1804

LCM of Fractions 8786/44,1804/704 is 180113

2 8786, 1804
4393, 902

∴ So the LCM of the given numbers is 2 x 4393 x 902 = 7924972

Least Common Multiple of 8786,1804 with GCF Formula

Least Common Multiple of 8786,1804 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 8786,1804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8786,1804) = 2

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

GCF(8786,1804) x common factors =2 x 1 = 2

LCM(8786,1804) = ( 8786 × 1804 ) / 2

LCM(8786,1804) = 15849944 / 2

LCM(8786,1804) = 7924972


Lets's calculate GCF of 44,704

2 44, 704
2 22, 352
11 11, 176
1, 16

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7924972/44

Therefore the LCM of Fractions 8786/44,1804/704 is 180113

Greatest Common Factor of 44,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,704 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 44,704 . The biggest common factor number is the GCF number.
So the greatest common factor 44,704 is 44.


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 8786/44, 1804/704

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 8786/44, 1804/704?

Answer: LCM of Numerators as per given numbers 8786/44, 1804/704 is

LCM of Numerators i.e. for 8786,1804 is 7924972

GCF of denominators i.e. for 44,704 is 44.

Thus, LCM of Fractions is 180113.Finally, LCM of Fractions for 8786/44, 1804/704 is 180113.