Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/73, 828/45, 784/966 quickly i.e. 162288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/73, 828/45, 784/966 is 162288.
LCM(92/73, 828/45, 784/966) = 162288
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/73,828/45,784/966
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 92,828,784
Least Common Multiple of Numerators i.e. LCM of 92,828,784 is 162288.
GCF of Denominators means GCF of 73,45,966 as per the given fractions.
GCF of 73,45,966 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,828,784
2 | 92, 828, 784 |
2 | 46, 414, 392 |
23 | 23, 207, 196 |
1, 9, 196 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 9 x 196 = 162288
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 92,828,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,828,784) = 4
common factors(in case of two or more numbers have common factors) = 92
GCF(92,828,784) x common factors =4 x 92 = 368
LCM(92,828,784) = ( 92 × 828 × 784 ) / 368
LCM(92,828,784) = 59721984 / 368
LCM(92,828,784) = 162288
Lets's calculate GCF of 73,45,966
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162288/1
Therefore the LCM of Fractions 92/73,828/45,784/966 is 162288
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Greatest Common Factor
We found the factors 73,45,966 . The biggest common factor number is the GCF number.
So the greatest common factor 73,45,966 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 92/73, 828/45, 784/966?
Answer: LCM of Numerators as per given numbers 92/73, 828/45, 784/966 is
LCM of Numerators i.e. for 92,828,784 is 162288
GCF of denominators i.e. for 73,45,966 is 1.
Thus, LCM of Fractions is 162288.Finally, LCM of Fractions for 92/73, 828/45, 784/966 is 162288.