Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/933, 232/898, 536/473 quickly i.e. 668392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/933, 232/898, 536/473 is 668392.
LCM(43/933, 232/898, 536/473) = 668392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/933,232/898,536/473
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 43,232,536
Least Common Multiple of Numerators i.e. LCM of 43,232,536 is 668392.
GCF of Denominators means GCF of 933,898,473 as per the given fractions.
GCF of 933,898,473 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,232,536
2 | 43, 232, 536 |
2 | 43, 116, 268 |
2 | 43, 58, 134 |
43, 29, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 29 x 67 = 668392
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 43,232,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,232,536) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(43,232,536) x common factors =1 x 8 = 8
LCM(43,232,536) = ( 43 × 232 × 536 ) / 8
LCM(43,232,536) = 5347136 / 8
LCM(43,232,536) = 668392
Lets's calculate GCF of 933,898,473
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 668392/1
Therefore the LCM of Fractions 43/933,232/898,536/473 is 668392
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Greatest Common Factor
We found the factors 933,898,473 . The biggest common factor number is the GCF number.
So the greatest common factor 933,898,473 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 43/933, 232/898, 536/473?
Answer: LCM of Numerators as per given numbers 43/933, 232/898, 536/473 is
LCM of Numerators i.e. for 43,232,536 is 668392
GCF of denominators i.e. for 933,898,473 is 1.
Thus, LCM of Fractions is 668392.Finally, LCM of Fractions for 43/933, 232/898, 536/473 is 668392.