Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/482, 438/393, 157/124 quickly i.e. 756426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/482, 438/393, 157/124 is 756426.
LCM(66/482, 438/393, 157/124) = 756426
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/482,438/393,157/124
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 66,438,157
Least Common Multiple of Numerators i.e. LCM of 66,438,157 is 756426.
GCF of Denominators means GCF of 482,393,124 as per the given fractions.
GCF of 482,393,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,438,157
2 | 66, 438, 157 |
3 | 33, 219, 157 |
11, 73, 157 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 73 x 157 = 756426
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 66,438,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,438,157) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,438,157) x common factors =1 x 6 = 6
LCM(66,438,157) = ( 66 × 438 × 157 ) / 6
LCM(66,438,157) = 4538556 / 6
LCM(66,438,157) = 756426
Lets's calculate GCF of 482,393,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 756426/1
Therefore the LCM of Fractions 66/482,438/393,157/124 is 756426
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 482,393,124 . The biggest common factor number is the GCF number.
So the greatest common factor 482,393,124 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 66/482, 438/393, 157/124?
Answer: LCM of Numerators as per given numbers 66/482, 438/393, 157/124 is
LCM of Numerators i.e. for 66,438,157 is 756426
GCF of denominators i.e. for 482,393,124 is 1.
Thus, LCM of Fractions is 756426.Finally, LCM of Fractions for 66/482, 438/393, 157/124 is 756426.