Least Common Multiple of 810/83, 456/6326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/83, 456/6326 quickly i.e. 61560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/83, 456/6326 is 61560.

LCM(810/83, 456/6326) = 61560

LCM of 810/83, 456/6326

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 810/83,456/6326

Given numbers are 810/83,456/6326

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 810,456

Least Common Multiple of Numerators i.e. LCM of 810,456 is 61560.

GCF of Denominators means GCF of 83,6326 as per the given fractions.

GCF of 83,6326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,456

LCM of Fractions 810/83,456/6326 is 61560

2 810, 456
3 405, 228
135, 76

∴ So the LCM of the given numbers is 2 x 3 x 135 x 76 = 61560

Least Common Multiple of 810,456 with GCF Formula

Least Common Multiple of 810,456 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 810,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,456) = 6

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

GCF(810,456) x common factors =6 x 1 = 6

LCM(810,456) = ( 810 × 456 ) / 6

LCM(810,456) = 369360 / 6

LCM(810,456) = 61560


Lets's calculate GCF of 83,6326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61560/1

Therefore the LCM of Fractions 810/83,456/6326 is 61560

Greatest Common Factor of 83,6326 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,6326 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 6326

List of positive integer factors of 6326 that divides 6326 without a remainder.

1,2,3163,6326

Greatest Common Factor

We found the factors 83,6326 . The biggest common factor number is the GCF number.
So the greatest common factor 83,6326 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 810/83, 456/6326

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 810/83, 456/6326?

Answer: LCM of Numerators as per given numbers 810/83, 456/6326 is

LCM of Numerators i.e. for 810,456 is 61560

GCF of denominators i.e. for 83,6326 is 1.

Thus, LCM of Fractions is 61560.Finally, LCM of Fractions for 810/83, 456/6326 is 61560.