Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 438/10, 4767/597 quickly i.e. 695982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 438/10, 4767/597 is 695982.
LCM(438/10, 4767/597) = 695982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 438/10,4767/597
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 438,4767
Least Common Multiple of Numerators i.e. LCM of 438,4767 is 695982.
GCF of Denominators means GCF of 10,597 as per the given fractions.
GCF of 10,597 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 438,4767
3 | 438, 4767 |
146, 1589 |
∴ So the LCM of the given numbers is 3 x 146 x 1589 = 695982
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 438,4767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,4767) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(438,4767) x common factors =3 x 1 = 3
LCM(438,4767) = ( 438 × 4767 ) / 3
LCM(438,4767) = 2087946 / 3
LCM(438,4767) = 695982
Lets's calculate GCF of 10,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695982/1
Therefore the LCM of Fractions 438/10,4767/597 is 695982
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 10,597 . The biggest common factor number is the GCF number.
So the greatest common factor 10,597 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 438/10, 4767/597?
Answer: LCM of Numerators as per given numbers 438/10, 4767/597 is
LCM of Numerators i.e. for 438,4767 is 695982
GCF of denominators i.e. for 10,597 is 1.
Thus, LCM of Fractions is 695982.Finally, LCM of Fractions for 438/10, 4767/597 is 695982.