Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/356, 414/140, 288/922 quickly i.e. 215280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/356, 414/140, 288/922 is 215280.
LCM(65/356, 414/140, 288/922) = 215280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/356,414/140,288/922
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 65,414,288
Least Common Multiple of Numerators i.e. LCM of 65,414,288 is 430560.
GCF of Denominators means GCF of 356,140,922 as per the given fractions.
GCF of 356,140,922 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,414,288
2 | 65, 414, 288 |
3 | 65, 207, 144 |
3 | 65, 69, 48 |
65, 23, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 65 x 23 x 16 = 430560
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 65,414,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,414,288) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(65,414,288) x common factors =1 x 18 = 18
LCM(65,414,288) = ( 65 × 414 × 288 ) / 18
LCM(65,414,288) = 7750080 / 18
LCM(65,414,288) = 430560
Lets's calculate GCF of 356,140,922
2 | 356, 140, 922 |
178, 70, 461 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430560/2
Therefore the LCM of Fractions 65/356,414/140,288/922 is 215280
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 356,140,922 . The biggest common factor number is the GCF number.
So the greatest common factor 356,140,922 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 65/356, 414/140, 288/922?
Answer: LCM of Numerators as per given numbers 65/356, 414/140, 288/922 is
LCM of Numerators i.e. for 65,414,288 is 430560
GCF of denominators i.e. for 356,140,922 is 2.
Thus, LCM of Fractions is 215280.Finally, LCM of Fractions for 65/356, 414/140, 288/922 is 215280.