Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/47, 38/21, 77/89, 62/390 quickly i.e. 7528598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/47, 38/21, 77/89, 62/390 is 7528598.
LCM(83/47, 38/21, 77/89, 62/390) = 7528598
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/47,38/21,77/89,62/390
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 83,38,77,62
Least Common Multiple of Numerators i.e. LCM of 83,38,77,62 is 7528598.
GCF of Denominators means GCF of 47,21,89,390 as per the given fractions.
GCF of 47,21,89,390 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,38,77,62
2 | 83, 38, 77, 62 |
83, 19, 77, 31 |
∴ So the LCM of the given numbers is 2 x 83 x 19 x 77 x 31 = 7528598
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 83,38,77,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,38,77,62) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(83,38,77,62) x common factors =1 x 2 = 2
LCM(83,38,77,62) = ( 83 × 38 × 77 × 62 ) / 2
LCM(83,38,77,62) = 15057196 / 2
LCM(83,38,77,62) = 7528598
Lets's calculate GCF of 47,21,89,390
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7528598/1
Therefore the LCM of Fractions 83/47,38/21,77/89,62/390 is 7528598
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Greatest Common Factor
We found the factors 47,21,89,390 . The biggest common factor number is the GCF number.
So the greatest common factor 47,21,89,390 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 83/47, 38/21, 77/89, 62/390?
Answer: LCM of Numerators as per given numbers 83/47, 38/21, 77/89, 62/390 is
LCM of Numerators i.e. for 83,38,77,62 is 7528598
GCF of denominators i.e. for 47,21,89,390 is 1.
Thus, LCM of Fractions is 7528598.Finally, LCM of Fractions for 83/47, 38/21, 77/89, 62/390 is 7528598.