Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/62, 15/94, 70/32, 57/875 quickly i.e. 3990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/62, 15/94, 70/32, 57/875 is 3990.
LCM(38/62, 15/94, 70/32, 57/875) = 3990
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/62,15/94,70/32,57/875
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 38,15,70,57
Least Common Multiple of Numerators i.e. LCM of 38,15,70,57 is 3990.
GCF of Denominators means GCF of 62,94,32,875 as per the given fractions.
GCF of 62,94,32,875 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,15,70,57
2 | 38, 15, 70, 57 |
3 | 19, 15, 35, 57 |
5 | 19, 5, 35, 19 |
19 | 19, 1, 7, 19 |
1, 1, 7, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 1 x 1 x 7 x 1 = 3990
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 38,15,70,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,15,70,57) = 1
common factors(in case of two or more numbers have common factors) = 570
GCF(38,15,70,57) x common factors =1 x 570 = 570
LCM(38,15,70,57) = ( 38 × 15 × 70 × 57 ) / 570
LCM(38,15,70,57) = 2274300 / 570
LCM(38,15,70,57) = 3990
Lets's calculate GCF of 62,94,32,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3990/1
Therefore the LCM of Fractions 38/62,15/94,70/32,57/875 is 3990
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 62,94,32,875 . The biggest common factor number is the GCF number.
So the greatest common factor 62,94,32,875 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 38/62, 15/94, 70/32, 57/875?
Answer: LCM of Numerators as per given numbers 38/62, 15/94, 70/32, 57/875 is
LCM of Numerators i.e. for 38,15,70,57 is 3990
GCF of denominators i.e. for 62,94,32,875 is 1.
Thus, LCM of Fractions is 3990.Finally, LCM of Fractions for 38/62, 15/94, 70/32, 57/875 is 3990.