Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 790/420, 510/646 quickly i.e. 20145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 790/420, 510/646 is 20145.
LCM(790/420, 510/646) = 20145
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 790/420,510/646
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 790,510
Least Common Multiple of Numerators i.e. LCM of 790,510 is 40290.
GCF of Denominators means GCF of 420,646 as per the given fractions.
GCF of 420,646 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 790,510
2 | 790, 510 |
5 | 395, 255 |
79, 51 |
∴ So the LCM of the given numbers is 2 x 5 x 79 x 51 = 40290
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 790,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,510) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(790,510) x common factors =10 x 1 = 10
LCM(790,510) = ( 790 × 510 ) / 10
LCM(790,510) = 402900 / 10
LCM(790,510) = 40290
Lets's calculate GCF of 420,646
2 | 420, 646 |
210, 323 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40290/2
Therefore the LCM of Fractions 790/420,510/646 is 20145
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 420,646 . The biggest common factor number is the GCF number.
So the greatest common factor 420,646 is 2.
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 790/420, 510/646?
Answer: LCM of Numerators as per given numbers 790/420, 510/646 is
LCM of Numerators i.e. for 790,510 is 40290
GCF of denominators i.e. for 420,646 is 2.
Thus, LCM of Fractions is 20145.Finally, LCM of Fractions for 790/420, 510/646 is 20145.