Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 315/68, 784/42, 930/828 quickly i.e. 546840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 315/68, 784/42, 930/828 is 546840.
LCM(315/68, 784/42, 930/828) = 546840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 315/68,784/42,930/828
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 315,784,930
Least Common Multiple of Numerators i.e. LCM of 315,784,930 is 1093680.
GCF of Denominators means GCF of 68,42,828 as per the given fractions.
GCF of 68,42,828 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 315,784,930
2 | 315, 784, 930 |
3 | 315, 392, 465 |
5 | 105, 392, 155 |
7 | 21, 392, 31 |
3, 56, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 3 x 56 x 31 = 1093680
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 315,784,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,784,930) = 1
common factors(in case of two or more numbers have common factors) = 210
GCF(315,784,930) x common factors =1 x 210 = 210
LCM(315,784,930) = ( 315 × 784 × 930 ) / 210
LCM(315,784,930) = 229672800 / 210
LCM(315,784,930) = 1093680
Lets's calculate GCF of 68,42,828
2 | 68, 42, 828 |
34, 21, 414 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1093680/2
Therefore the LCM of Fractions 315/68,784/42,930/828 is 546840
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 68,42,828 . The biggest common factor number is the GCF number.
So the greatest common factor 68,42,828 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 315/68, 784/42, 930/828?
Answer: LCM of Numerators as per given numbers 315/68, 784/42, 930/828 is
LCM of Numerators i.e. for 315,784,930 is 1093680
GCF of denominators i.e. for 68,42,828 is 2.
Thus, LCM of Fractions is 546840.Finally, LCM of Fractions for 315/68, 784/42, 930/828 is 546840.