Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 828/92, 767/66, 922/933 quickly i.e. 292770036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 828/92, 767/66, 922/933 is 292770036.
LCM(828/92, 767/66, 922/933) = 292770036
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 828/92,767/66,922/933
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 828,767,922
Least Common Multiple of Numerators i.e. LCM of 828,767,922 is 292770036.
GCF of Denominators means GCF of 92,66,933 as per the given fractions.
GCF of 92,66,933 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 828,767,922
2 | 828, 767, 922 |
414, 767, 461 |
∴ So the LCM of the given numbers is 2 x 414 x 767 x 461 = 292770036
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 828,767,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,767,922) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(828,767,922) x common factors =1 x 2 = 2
LCM(828,767,922) = ( 828 × 767 × 922 ) / 2
LCM(828,767,922) = 585540072 / 2
LCM(828,767,922) = 292770036
Lets's calculate GCF of 92,66,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292770036/1
Therefore the LCM of Fractions 828/92,767/66,922/933 is 292770036
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 92,66,933 . The biggest common factor number is the GCF number.
So the greatest common factor 92,66,933 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 828/92, 767/66, 922/933?
Answer: LCM of Numerators as per given numbers 828/92, 767/66, 922/933 is
LCM of Numerators i.e. for 828,767,922 is 292770036
GCF of denominators i.e. for 92,66,933 is 1.
Thus, LCM of Fractions is 292770036.Finally, LCM of Fractions for 828/92, 767/66, 922/933 is 292770036.