Least Common Multiple of 1610/629, 2409/6987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1610/629, 2409/6987 quickly i.e. 3878490/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1610/629, 2409/6987 is 3878490/17.

LCM(1610/629, 2409/6987) = 3878490/17

LCM of 1610/629, 2409/6987

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 1610/629,2409/6987

Given numbers are 1610/629,2409/6987

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 1610,2409

Least Common Multiple of Numerators i.e. LCM of 1610,2409 is 3878490.

GCF of Denominators means GCF of 629,6987 as per the given fractions.

GCF of 629,6987 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1610,2409

LCM of Fractions 1610/629,2409/6987 is 3878490/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 3878490

Least Common Multiple of 1610,2409 with GCF Formula

Least Common Multiple of 1610,2409 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 1610,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1610,2409) = 1

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

GCF(1610,2409) x common factors =1 x 1 = 1

LCM(1610,2409) = ( 1610 × 2409 ) / 1

LCM(1610,2409) = 3878490 / 1

LCM(1610,2409) = 3878490


Lets's calculate GCF of 629,6987

17 629, 6987
37, 411

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3878490/17

Therefore the LCM of Fractions 1610/629,2409/6987 is 3878490/17

Greatest Common Factor of 629,6987 By Matching Biggest Common Factor Method

Greatest Common Factor of 629,6987 By Matching Biggest Common Factor Method

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1,3,17,51,137,411,2329,6987

Greatest Common Factor

We found the factors 629,6987 . The biggest common factor number is the GCF number.
So the greatest common factor 629,6987 is 17.


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 1610/629, 2409/6987

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 1610/629, 2409/6987?

Answer: LCM of Numerators as per given numbers 1610/629, 2409/6987 is

LCM of Numerators i.e. for 1610,2409 is 3878490

GCF of denominators i.e. for 629,6987 is 17.

Thus, LCM of Fractions is 3878490/17.Finally, LCM of Fractions for 1610/629, 2409/6987 is 3878490/17.