Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/10, 434/85, 382/414 quickly i.e. 331576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/10, 434/85, 382/414 is 331576.
LCM(56/10, 434/85, 382/414) = 331576
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/10,434/85,382/414
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 56,434,382
Least Common Multiple of Numerators i.e. LCM of 56,434,382 is 331576.
GCF of Denominators means GCF of 10,85,414 as per the given fractions.
GCF of 10,85,414 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,434,382
2 | 56, 434, 382 |
7 | 28, 217, 191 |
4, 31, 191 |
∴ So the LCM of the given numbers is 2 x 7 x 4 x 31 x 191 = 331576
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 56,434,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,434,382) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(56,434,382) x common factors =2 x 14 = 28
LCM(56,434,382) = ( 56 × 434 × 382 ) / 28
LCM(56,434,382) = 9284128 / 28
LCM(56,434,382) = 331576
Lets's calculate GCF of 10,85,414
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331576/1
Therefore the LCM of Fractions 56/10,434/85,382/414 is 331576
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 10,85,414 . The biggest common factor number is the GCF number.
So the greatest common factor 10,85,414 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 56/10, 434/85, 382/414?
Answer: LCM of Numerators as per given numbers 56/10, 434/85, 382/414 is
LCM of Numerators i.e. for 56,434,382 is 331576
GCF of denominators i.e. for 10,85,414 is 1.
Thus, LCM of Fractions is 331576.Finally, LCM of Fractions for 56/10, 434/85, 382/414 is 331576.