Least Common Multiple of 71/812, 2645/2264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/812, 2645/2264 quickly i.e. 187795/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/812, 2645/2264 is 187795/4.

LCM(71/812, 2645/2264) = 187795/4

LCM of 71/812, 2645/2264

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 71/812,2645/2264

Given numbers are 71/812,2645/2264

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 71,2645

Least Common Multiple of Numerators i.e. LCM of 71,2645 is 187795.

GCF of Denominators means GCF of 812,2264 as per the given fractions.

GCF of 812,2264 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,2645

LCM of Fractions 71/812,2645/2264 is 187795/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 187795

Least Common Multiple of 71,2645 with GCF Formula

Least Common Multiple of 71,2645 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 71,2645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,2645) = 1

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

GCF(71,2645) x common factors =1 x 1 = 1

LCM(71,2645) = ( 71 × 2645 ) / 1

LCM(71,2645) = 187795 / 1

LCM(71,2645) = 187795


Lets's calculate GCF of 812,2264

2 812, 2264
2 406, 1132
203, 566

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187795/4

Therefore the LCM of Fractions 71/812,2645/2264 is 187795/4

Greatest Common Factor of 812,2264 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,2264 By Matching Biggest Common Factor Method

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Factors of 2264

List of positive integer factors of 2264 that divides 2264 without a remainder.

1,2,4,8,283,566,1132,2264

Greatest Common Factor

We found the factors 812,2264 . The biggest common factor number is the GCF number.
So the greatest common factor 812,2264 is 4.


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 71/812, 2645/2264

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 71/812, 2645/2264?

Answer: LCM of Numerators as per given numbers 71/812, 2645/2264 is

LCM of Numerators i.e. for 71,2645 is 187795

GCF of denominators i.e. for 812,2264 is 4.

Thus, LCM of Fractions is 187795/4.Finally, LCM of Fractions for 71/812, 2645/2264 is 187795/4.