Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/70, 272/26, 929/538 quickly i.e. 1895160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/70, 272/26, 929/538 is 1895160.
LCM(30/70, 272/26, 929/538) = 1895160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/70,272/26,929/538
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 30,272,929
Least Common Multiple of Numerators i.e. LCM of 30,272,929 is 3790320.
GCF of Denominators means GCF of 70,26,538 as per the given fractions.
GCF of 70,26,538 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,272,929
2 | 30, 272, 929 |
15, 136, 929 |
∴ So the LCM of the given numbers is 2 x 15 x 136 x 929 = 3790320
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 30,272,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,272,929) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,272,929) x common factors =1 x 2 = 2
LCM(30,272,929) = ( 30 × 272 × 929 ) / 2
LCM(30,272,929) = 7580640 / 2
LCM(30,272,929) = 3790320
Lets's calculate GCF of 70,26,538
2 | 70, 26, 538 |
35, 13, 269 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3790320/2
Therefore the LCM of Fractions 30/70,272/26,929/538 is 1895160
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Greatest Common Factor
We found the factors 70,26,538 . The biggest common factor number is the GCF number.
So the greatest common factor 70,26,538 is 2.
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 30/70, 272/26, 929/538?
Answer: LCM of Numerators as per given numbers 30/70, 272/26, 929/538 is
LCM of Numerators i.e. for 30,272,929 is 3790320
GCF of denominators i.e. for 70,26,538 is 2.
Thus, LCM of Fractions is 1895160.Finally, LCM of Fractions for 30/70, 272/26, 929/538 is 1895160.