Least Common Multiple of 45/29, 14/76, 803/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/29, 14/76, 803/866 quickly i.e. 505890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/29, 14/76, 803/866 is 505890.

LCM(45/29, 14/76, 803/866) = 505890

LCM of 45/29, 14/76, 803/866

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 45/29,14/76,803/866

Given numbers are 45/29,14/76,803/866

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 45,14,803

Least Common Multiple of Numerators i.e. LCM of 45,14,803 is 505890.

GCF of Denominators means GCF of 29,76,866 as per the given fractions.

GCF of 29,76,866 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,14,803

LCM of Fractions 45/29,14/76,803/866 is 505890

Given numbers has no common factors except 1. So, there LCM is their product i.e 505890

Least Common Multiple of 45,14,803 with GCF Formula

Least Common Multiple of 45,14,803 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 45,14,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,14,803) = 1

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

GCF(45,14,803) x common factors =1 x 1 = 1

LCM(45,14,803) = ( 45 × 14 × 803 ) / 1

LCM(45,14,803) = 505890 / 1

LCM(45,14,803) = 505890


Lets's calculate GCF of 29,76,866

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505890/1

Therefore the LCM of Fractions 45/29,14/76,803/866 is 505890

Greatest Common Factor of 29,76,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,76,866 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 29,76,866 . The biggest common factor number is the GCF number.
So the greatest common factor 29,76,866 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 45/29, 14/76, 803/866

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 45/29, 14/76, 803/866?

Answer: LCM of Numerators as per given numbers 45/29, 14/76, 803/866 is

LCM of Numerators i.e. for 45,14,803 is 505890

GCF of denominators i.e. for 29,76,866 is 1.

Thus, LCM of Fractions is 505890.Finally, LCM of Fractions for 45/29, 14/76, 803/866 is 505890.