Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/68, 84/51, 58/65, 10/675 quickly i.e. 231420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/68, 84/51, 58/65, 10/675 is 231420.
LCM(38/68, 84/51, 58/65, 10/675) = 231420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/68,84/51,58/65,10/675
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 38,84,58,10
Least Common Multiple of Numerators i.e. LCM of 38,84,58,10 is 231420.
GCF of Denominators means GCF of 68,51,65,675 as per the given fractions.
GCF of 68,51,65,675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,84,58,10
2 | 38, 84, 58, 10 |
19, 42, 29, 5 |
∴ So the LCM of the given numbers is 2 x 19 x 42 x 29 x 5 = 231420
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 38,84,58,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,84,58,10) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(38,84,58,10) x common factors =2 x 4 = 8
LCM(38,84,58,10) = ( 38 × 84 × 58 × 10 ) / 8
LCM(38,84,58,10) = 1851360 / 8
LCM(38,84,58,10) = 231420
Lets's calculate GCF of 68,51,65,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231420/1
Therefore the LCM of Fractions 38/68,84/51,58/65,10/675 is 231420
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 68,51,65,675 . The biggest common factor number is the GCF number.
So the greatest common factor 68,51,65,675 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 38/68, 84/51, 58/65, 10/675?
Answer: LCM of Numerators as per given numbers 38/68, 84/51, 58/65, 10/675 is
LCM of Numerators i.e. for 38,84,58,10 is 231420
GCF of denominators i.e. for 68,51,65,675 is 1.
Thus, LCM of Fractions is 231420.Finally, LCM of Fractions for 38/68, 84/51, 58/65, 10/675 is 231420.