Least Common Multiple of 3462/878, 1587/1007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3462/878, 1587/1007 quickly i.e. 1831398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3462/878, 1587/1007 is 1831398.

LCM(3462/878, 1587/1007) = 1831398

LCM of 3462/878, 1587/1007

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 3462/878,1587/1007

Given numbers are 3462/878,1587/1007

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 3462,1587

Least Common Multiple of Numerators i.e. LCM of 3462,1587 is 1831398.

GCF of Denominators means GCF of 878,1007 as per the given fractions.

GCF of 878,1007 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3462,1587

LCM of Fractions 3462/878,1587/1007 is 1831398

3 3462, 1587
1154, 529

∴ So the LCM of the given numbers is 3 x 1154 x 529 = 1831398

Least Common Multiple of 3462,1587 with GCF Formula

Least Common Multiple of 3462,1587 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 3462,1587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3462,1587) = 3

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

GCF(3462,1587) x common factors =3 x 1 = 3

LCM(3462,1587) = ( 3462 × 1587 ) / 3

LCM(3462,1587) = 5494194 / 3

LCM(3462,1587) = 1831398


Lets's calculate GCF of 878,1007

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1831398/1

Therefore the LCM of Fractions 3462/878,1587/1007 is 1831398

Greatest Common Factor of 878,1007 By Matching Biggest Common Factor Method

Greatest Common Factor of 878,1007 By Matching Biggest Common Factor Method

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 1007

List of positive integer factors of 1007 that divides 1007 without a remainder.

1,19,53,1007

Greatest Common Factor

We found the factors 878,1007 . The biggest common factor number is the GCF number.
So the greatest common factor 878,1007 is 1.


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 3462/878, 1587/1007

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 3462/878, 1587/1007?

Answer: LCM of Numerators as per given numbers 3462/878, 1587/1007 is

LCM of Numerators i.e. for 3462,1587 is 1831398

GCF of denominators i.e. for 878,1007 is 1.

Thus, LCM of Fractions is 1831398.Finally, LCM of Fractions for 3462/878, 1587/1007 is 1831398.