Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/747, 3626/870 quickly i.e. 667184/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/747, 3626/870 is 667184/3.
LCM(368/747, 3626/870) = 667184/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/747,3626/870
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 368,3626
Least Common Multiple of Numerators i.e. LCM of 368,3626 is 667184.
GCF of Denominators means GCF of 747,870 as per the given fractions.
GCF of 747,870 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,3626
2 | 368, 3626 |
184, 1813 |
∴ So the LCM of the given numbers is 2 x 184 x 1813 = 667184
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 368,3626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,3626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(368,3626) x common factors =2 x 1 = 2
LCM(368,3626) = ( 368 × 3626 ) / 2
LCM(368,3626) = 1334368 / 2
LCM(368,3626) = 667184
Lets's calculate GCF of 747,870
3 | 747, 870 |
249, 290 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 667184/3
Therefore the LCM of Fractions 368/747,3626/870 is 667184/3
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 747,870 . The biggest common factor number is the GCF number.
So the greatest common factor 747,870 is 3.
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 368/747, 3626/870?
Answer: LCM of Numerators as per given numbers 368/747, 3626/870 is
LCM of Numerators i.e. for 368,3626 is 667184
GCF of denominators i.e. for 747,870 is 3.
Thus, LCM of Fractions is 667184/3.Finally, LCM of Fractions for 368/747, 3626/870 is 667184/3.