Least Common Multiple of 660/12, 825/1840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 660/12, 825/1840 quickly i.e. 825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 660/12, 825/1840 is 825.

LCM(660/12, 825/1840) = 825

LCM of 660/12, 825/1840

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 660/12,825/1840

Given numbers are 660/12,825/1840

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 660,825

Least Common Multiple of Numerators i.e. LCM of 660,825 is 3300.

GCF of Denominators means GCF of 12,1840 as per the given fractions.

GCF of 12,1840 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 660,825

LCM of Fractions 660/12,825/1840 is 825

3 660, 825
5 220, 275
11 44, 55
4, 5

∴ So the LCM of the given numbers is 3 x 5 x 11 x 4 x 5 = 3300

Least Common Multiple of 660,825 with GCF Formula

Least Common Multiple of 660,825 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 660,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,825) = 165

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

GCF(660,825) x common factors =165 x 1 = 165

LCM(660,825) = ( 660 × 825 ) / 165

LCM(660,825) = 544500 / 165

LCM(660,825) = 3300


Lets's calculate GCF of 12,1840

2 12, 1840
2 6, 920
3, 460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3300/4

Therefore the LCM of Fractions 660/12,825/1840 is 825

Greatest Common Factor of 12,1840 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,1840 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 1840

List of positive integer factors of 1840 that divides 1840 without a remainder.

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Greatest Common Factor

We found the factors 12,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 12,1840 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 660/12, 825/1840

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 660/12, 825/1840?

Answer: LCM of Numerators as per given numbers 660/12, 825/1840 is

LCM of Numerators i.e. for 660,825 is 3300

GCF of denominators i.e. for 12,1840 is 4.

Thus, LCM of Fractions is 825.Finally, LCM of Fractions for 660/12, 825/1840 is 825.