Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 385/553, 638/711 quickly i.e. 22330/79 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 385/553, 638/711 is 22330/79.
LCM(385/553, 638/711) = 22330/79
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 385/553,638/711
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 385,638
Least Common Multiple of Numerators i.e. LCM of 385,638 is 22330.
GCF of Denominators means GCF of 553,711 as per the given fractions.
GCF of 553,711 is 79 as it is the largest common factor for these numbers.
Lets's calculate LCM of 385,638
11 | 385, 638 |
35, 58 |
∴ So the LCM of the given numbers is 11 x 35 x 58 = 22330
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 385,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,638) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(385,638) x common factors =11 x 1 = 11
LCM(385,638) = ( 385 × 638 ) / 11
LCM(385,638) = 245630 / 11
LCM(385,638) = 22330
Lets's calculate GCF of 553,711
79 | 553, 711 |
7, 9 |
∴ So the GCF of the given numbers is 79 = 79
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22330/79
Therefore the LCM of Fractions 385/553,638/711 is 22330/79
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 553,711 . The biggest common factor number is the GCF number.
So the greatest common factor 553,711 is 79.
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 385/553, 638/711?
Answer: LCM of Numerators as per given numbers 385/553, 638/711 is
LCM of Numerators i.e. for 385,638 is 22330
GCF of denominators i.e. for 553,711 is 79.
Thus, LCM of Fractions is 22330/79.Finally, LCM of Fractions for 385/553, 638/711 is 22330/79.