Least Common Multiple of 820/32, 860/1602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/32, 860/1602 quickly i.e. 17630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/32, 860/1602 is 17630.

LCM(820/32, 860/1602) = 17630

LCM of 820/32, 860/1602

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 820/32,860/1602

Given numbers are 820/32,860/1602

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 820,860

Least Common Multiple of Numerators i.e. LCM of 820,860 is 35260.

GCF of Denominators means GCF of 32,1602 as per the given fractions.

GCF of 32,1602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,860

LCM of Fractions 820/32,860/1602 is 17630

2 820, 860
2 410, 430
5 205, 215
41, 43

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 43 = 35260

Least Common Multiple of 820,860 with GCF Formula

Least Common Multiple of 820,860 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 820,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,860) = 20

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

GCF(820,860) x common factors =20 x 1 = 20

LCM(820,860) = ( 820 × 860 ) / 20

LCM(820,860) = 705200 / 20

LCM(820,860) = 35260


Lets's calculate GCF of 32,1602

2 32, 1602
16, 801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35260/2

Therefore the LCM of Fractions 820/32,860/1602 is 17630

Greatest Common Factor of 32,1602 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,1602 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 1602

List of positive integer factors of 1602 that divides 1602 without a remainder.

1,2,3,6,9,18,89,178,267,534,801,1602

Greatest Common Factor

We found the factors 32,1602 . The biggest common factor number is the GCF number.
So the greatest common factor 32,1602 is 2.


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 820/32, 860/1602

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 820/32, 860/1602?

Answer: LCM of Numerators as per given numbers 820/32, 860/1602 is

LCM of Numerators i.e. for 820,860 is 35260

GCF of denominators i.e. for 32,1602 is 2.

Thus, LCM of Fractions is 17630.Finally, LCM of Fractions for 820/32, 860/1602 is 17630.