Least Common Multiple of 12/925, 1587/8562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/925, 1587/8562 quickly i.e. 6348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/925, 1587/8562 is 6348.

LCM(12/925, 1587/8562) = 6348

LCM of 12/925, 1587/8562

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 12/925,1587/8562

Given numbers are 12/925,1587/8562

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 12,1587

Least Common Multiple of Numerators i.e. LCM of 12,1587 is 6348.

GCF of Denominators means GCF of 925,8562 as per the given fractions.

GCF of 925,8562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,1587

LCM of Fractions 12/925,1587/8562 is 6348

3 12, 1587
4, 529

∴ So the LCM of the given numbers is 3 x 4 x 529 = 6348

Least Common Multiple of 12,1587 with GCF Formula

Least Common Multiple of 12,1587 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 12,1587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,1587) = 3

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

GCF(12,1587) x common factors =3 x 1 = 3

LCM(12,1587) = ( 12 × 1587 ) / 3

LCM(12,1587) = 19044 / 3

LCM(12,1587) = 6348


Lets's calculate GCF of 925,8562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6348/1

Therefore the LCM of Fractions 12/925,1587/8562 is 6348

Greatest Common Factor of 925,8562 By Matching Biggest Common Factor Method

Greatest Common Factor of 925,8562 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 8562

List of positive integer factors of 8562 that divides 8562 without a remainder.

1,2,3,6,1427,2854,4281,8562

Greatest Common Factor

We found the factors 925,8562 . The biggest common factor number is the GCF number.
So the greatest common factor 925,8562 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/925, 1587/8562

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 12/925, 1587/8562?

Answer: LCM of Numerators as per given numbers 12/925, 1587/8562 is

LCM of Numerators i.e. for 12,1587 is 6348

GCF of denominators i.e. for 925,8562 is 1.

Thus, LCM of Fractions is 6348.Finally, LCM of Fractions for 12/925, 1587/8562 is 6348.