Least Common Multiple of 17/925, 1812/8820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/925, 1812/8820 quickly i.e. 30804/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/925, 1812/8820 is 30804/5.

LCM(17/925, 1812/8820) = 30804/5

LCM of 17/925, 1812/8820

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 17/925,1812/8820

Given numbers are 17/925,1812/8820

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 17,1812

Least Common Multiple of Numerators i.e. LCM of 17,1812 is 30804.

GCF of Denominators means GCF of 925,8820 as per the given fractions.

GCF of 925,8820 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,1812

LCM of Fractions 17/925,1812/8820 is 30804/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 30804

Least Common Multiple of 17,1812 with GCF Formula

Least Common Multiple of 17,1812 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 17,1812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,1812) = 1

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

GCF(17,1812) x common factors =1 x 1 = 1

LCM(17,1812) = ( 17 × 1812 ) / 1

LCM(17,1812) = 30804 / 1

LCM(17,1812) = 30804


Lets's calculate GCF of 925,8820

5 925, 8820
185, 1764

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30804/5

Therefore the LCM of Fractions 17/925,1812/8820 is 30804/5

Greatest Common Factor of 925,8820 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,8820 By Matching Biggest Common Factor Method

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 8820

List of positive integer factors of 8820 that divides 8820 without a remainder.

1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,49,60,63,70,84,90,98,105,126,140,147,180,196,210,245,252,294,315,420,441,490,588,630,735,882,980,1260,1470,1764,2205,2940,4410,8820

Greatest Common Factor

We found the factors 925,8820 . The biggest common factor number is the GCF number.
So the greatest common factor 925,8820 is 5.


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 17/925, 1812/8820

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 17/925, 1812/8820?

Answer: LCM of Numerators as per given numbers 17/925, 1812/8820 is

LCM of Numerators i.e. for 17,1812 is 30804

GCF of denominators i.e. for 925,8820 is 5.

Thus, LCM of Fractions is 30804/5.Finally, LCM of Fractions for 17/925, 1812/8820 is 30804/5.