Least Common Multiple of 85/811, 1564/4860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/811, 1564/4860 quickly i.e. 7820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/811, 1564/4860 is 7820.

LCM(85/811, 1564/4860) = 7820

LCM of 85/811, 1564/4860

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 85/811,1564/4860

Given numbers are 85/811,1564/4860

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 85,1564

Least Common Multiple of Numerators i.e. LCM of 85,1564 is 7820.

GCF of Denominators means GCF of 811,4860 as per the given fractions.

GCF of 811,4860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,1564

LCM of Fractions 85/811,1564/4860 is 7820

17 85, 1564
5, 92

∴ So the LCM of the given numbers is 17 x 5 x 92 = 7820

Least Common Multiple of 85,1564 with GCF Formula

Least Common Multiple of 85,1564 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 85,1564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,1564) = 17

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

GCF(85,1564) x common factors =17 x 1 = 17

LCM(85,1564) = ( 85 × 1564 ) / 17

LCM(85,1564) = 132940 / 17

LCM(85,1564) = 7820


Lets's calculate GCF of 811,4860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7820/1

Therefore the LCM of Fractions 85/811,1564/4860 is 7820

Greatest Common Factor of 811,4860 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,4860 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 4860

List of positive integer factors of 4860 that divides 4860 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,81,90,108,135,162,180,243,270,324,405,486,540,810,972,1215,1620,2430,4860

Greatest Common Factor

We found the factors 811,4860 . The biggest common factor number is the GCF number.
So the greatest common factor 811,4860 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 85/811, 1564/4860

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 85/811, 1564/4860?

Answer: LCM of Numerators as per given numbers 85/811, 1564/4860 is

LCM of Numerators i.e. for 85,1564 is 7820

GCF of denominators i.e. for 811,4860 is 1.

Thus, LCM of Fractions is 7820.Finally, LCM of Fractions for 85/811, 1564/4860 is 7820.