Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/602, 62/711, 38/645 quickly i.e. 4712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/602, 62/711, 38/645 is 4712.
LCM(8/602, 62/711, 38/645) = 4712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/602,62/711,38/645
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 8,62,38
Least Common Multiple of Numerators i.e. LCM of 8,62,38 is 4712.
GCF of Denominators means GCF of 602,711,645 as per the given fractions.
GCF of 602,711,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,62,38
2 | 8, 62, 38 |
4, 31, 19 |
∴ So the LCM of the given numbers is 2 x 4 x 31 x 19 = 4712
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 8,62,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,62,38) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(8,62,38) x common factors =2 x 2 = 4
LCM(8,62,38) = ( 8 × 62 × 38 ) / 4
LCM(8,62,38) = 18848 / 4
LCM(8,62,38) = 4712
Lets's calculate GCF of 602,711,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4712/1
Therefore the LCM of Fractions 8/602,62/711,38/645 is 4712
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 602,711,645 . The biggest common factor number is the GCF number.
So the greatest common factor 602,711,645 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 8/602, 62/711, 38/645?
Answer: LCM of Numerators as per given numbers 8/602, 62/711, 38/645 is
LCM of Numerators i.e. for 8,62,38 is 4712
GCF of denominators i.e. for 602,711,645 is 1.
Thus, LCM of Fractions is 4712.Finally, LCM of Fractions for 8/602, 62/711, 38/645 is 4712.