Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 101/38, 148/10, 764/462 quickly i.e. 1427534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 101/38, 148/10, 764/462 is 1427534.
LCM(101/38, 148/10, 764/462) = 1427534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 101/38,148/10,764/462
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 101,148,764
Least Common Multiple of Numerators i.e. LCM of 101,148,764 is 2855068.
GCF of Denominators means GCF of 38,10,462 as per the given fractions.
GCF of 38,10,462 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 101,148,764
2 | 101, 148, 764 |
2 | 101, 74, 382 |
101, 37, 191 |
∴ So the LCM of the given numbers is 2 x 2 x 101 x 37 x 191 = 2855068
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 101,148,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,148,764) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(101,148,764) x common factors =1 x 4 = 4
LCM(101,148,764) = ( 101 × 148 × 764 ) / 4
LCM(101,148,764) = 11420272 / 4
LCM(101,148,764) = 2855068
Lets's calculate GCF of 38,10,462
2 | 38, 10, 462 |
19, 5, 231 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2855068/2
Therefore the LCM of Fractions 101/38,148/10,764/462 is 1427534
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Greatest Common Factor
We found the factors 38,10,462 . The biggest common factor number is the GCF number.
So the greatest common factor 38,10,462 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 101/38, 148/10, 764/462?
Answer: LCM of Numerators as per given numbers 101/38, 148/10, 764/462 is
LCM of Numerators i.e. for 101,148,764 is 2855068
GCF of denominators i.e. for 38,10,462 is 2.
Thus, LCM of Fractions is 1427534.Finally, LCM of Fractions for 101/38, 148/10, 764/462 is 1427534.