Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 466/687, 6130/2603 quickly i.e. 1428290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 466/687, 6130/2603 is 1428290.
LCM(466/687, 6130/2603) = 1428290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 466/687,6130/2603
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 466,6130
Least Common Multiple of Numerators i.e. LCM of 466,6130 is 1428290.
GCF of Denominators means GCF of 687,2603 as per the given fractions.
GCF of 687,2603 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 466,6130
2 | 466, 6130 |
233, 3065 |
∴ So the LCM of the given numbers is 2 x 233 x 3065 = 1428290
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 466,6130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(466,6130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(466,6130) x common factors =2 x 1 = 2
LCM(466,6130) = ( 466 × 6130 ) / 2
LCM(466,6130) = 2856580 / 2
LCM(466,6130) = 1428290
Lets's calculate GCF of 687,2603
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1428290/1
Therefore the LCM of Fractions 466/687,6130/2603 is 1428290
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 2603
List of positive integer factors of 2603 that divides 2603 without a remainder.
1,19,137,2603
Greatest Common Factor
We found the factors 687,2603 . The biggest common factor number is the GCF number.
So the greatest common factor 687,2603 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 466/687, 6130/2603?
Answer: LCM of Numerators as per given numbers 466/687, 6130/2603 is
LCM of Numerators i.e. for 466,6130 is 1428290
GCF of denominators i.e. for 687,2603 is 1.
Thus, LCM of Fractions is 1428290.Finally, LCM of Fractions for 466/687, 6130/2603 is 1428290.