Least Common Multiple of 1687/418, 1307/5054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1687/418, 1307/5054 quickly i.e. 2204909/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1687/418, 1307/5054 is 2204909/38.

LCM(1687/418, 1307/5054) = 2204909/38

LCM of 1687/418, 1307/5054

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 1687/418,1307/5054

Given numbers are 1687/418,1307/5054

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 1687,1307

Least Common Multiple of Numerators i.e. LCM of 1687,1307 is 2204909.

GCF of Denominators means GCF of 418,5054 as per the given fractions.

GCF of 418,5054 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1687,1307

LCM of Fractions 1687/418,1307/5054 is 2204909/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 2204909

Least Common Multiple of 1687,1307 with GCF Formula

Least Common Multiple of 1687,1307 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 1687,1307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1687,1307) = 1

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

GCF(1687,1307) x common factors =1 x 1 = 1

LCM(1687,1307) = ( 1687 × 1307 ) / 1

LCM(1687,1307) = 2204909 / 1

LCM(1687,1307) = 2204909


Lets's calculate GCF of 418,5054

2 418, 5054
19 209, 2527
11, 133

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2204909/38

Therefore the LCM of Fractions 1687/418,1307/5054 is 2204909/38

Greatest Common Factor of 418,5054 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,5054 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 5054

List of positive integer factors of 5054 that divides 5054 without a remainder.

1,2,7,14,19,38,133,266,361,722,2527,5054

Greatest Common Factor

We found the factors 418,5054 . The biggest common factor number is the GCF number.
So the greatest common factor 418,5054 is 38.


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 1687/418, 1307/5054

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 1687/418, 1307/5054?

Answer: LCM of Numerators as per given numbers 1687/418, 1307/5054 is

LCM of Numerators i.e. for 1687,1307 is 2204909

GCF of denominators i.e. for 418,5054 is 38.

Thus, LCM of Fractions is 2204909/38.Finally, LCM of Fractions for 1687/418, 1307/5054 is 2204909/38.