Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/48, 21/95, 30/12, 14/572 quickly i.e. 4830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/48, 21/95, 30/12, 14/572 is 4830.
LCM(69/48, 21/95, 30/12, 14/572) = 4830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/48,21/95,30/12,14/572
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 69,21,30,14
Least Common Multiple of Numerators i.e. LCM of 69,21,30,14 is 4830.
GCF of Denominators means GCF of 48,95,12,572 as per the given fractions.
GCF of 48,95,12,572 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,21,30,14
2 | 69, 21, 30, 14 |
3 | 69, 21, 15, 7 |
7 | 23, 7, 5, 7 |
23, 1, 5, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 23 x 1 x 5 x 1 = 4830
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 69,21,30,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,21,30,14) = 1
common factors(in case of two or more numbers have common factors) = 126
GCF(69,21,30,14) x common factors =1 x 126 = 126
LCM(69,21,30,14) = ( 69 × 21 × 30 × 14 ) / 126
LCM(69,21,30,14) = 608580 / 126
LCM(69,21,30,14) = 4830
Lets's calculate GCF of 48,95,12,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4830/1
Therefore the LCM of Fractions 69/48,21/95,30/12,14/572 is 4830
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 48,95,12,572 . The biggest common factor number is the GCF number.
So the greatest common factor 48,95,12,572 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 69/48, 21/95, 30/12, 14/572?
Answer: LCM of Numerators as per given numbers 69/48, 21/95, 30/12, 14/572 is
LCM of Numerators i.e. for 69,21,30,14 is 4830
GCF of denominators i.e. for 48,95,12,572 is 1.
Thus, LCM of Fractions is 4830.Finally, LCM of Fractions for 69/48, 21/95, 30/12, 14/572 is 4830.