Least Common Multiple of 239/12, 825/8760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 239/12, 825/8760 quickly i.e. 197175/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 239/12, 825/8760 is 197175/12.

LCM(239/12, 825/8760) = 197175/12

LCM of 239/12, 825/8760

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 239/12,825/8760

Given numbers are 239/12,825/8760

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 239,825

Least Common Multiple of Numerators i.e. LCM of 239,825 is 197175.

GCF of Denominators means GCF of 12,8760 as per the given fractions.

GCF of 12,8760 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 239,825

LCM of Fractions 239/12,825/8760 is 197175/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 197175

Least Common Multiple of 239,825 with GCF Formula

Least Common Multiple of 239,825 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 239,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,825) = 1

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

GCF(239,825) x common factors =1 x 1 = 1

LCM(239,825) = ( 239 × 825 ) / 1

LCM(239,825) = 197175 / 1

LCM(239,825) = 197175


Lets's calculate GCF of 12,8760

2 12, 8760
2 6, 4380
3 3, 2190
1, 730

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197175/12

Therefore the LCM of Fractions 239/12,825/8760 is 197175/12

Greatest Common Factor of 12,8760 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,8760 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 8760

List of positive integer factors of 8760 that divides 8760 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760

Greatest Common Factor

We found the factors 12,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 12,8760 is 12.


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 239/12, 825/8760

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 239/12, 825/8760?

Answer: LCM of Numerators as per given numbers 239/12, 825/8760 is

LCM of Numerators i.e. for 239,825 is 197175

GCF of denominators i.e. for 12,8760 is 12.

Thus, LCM of Fractions is 197175/12.Finally, LCM of Fractions for 239/12, 825/8760 is 197175/12.