Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 467/528, 776/243 quickly i.e. 362392/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 467/528, 776/243 is 362392/3.
LCM(467/528, 776/243) = 362392/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 467/528,776/243
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 467,776
Least Common Multiple of Numerators i.e. LCM of 467,776 is 362392.
GCF of Denominators means GCF of 528,243 as per the given fractions.
GCF of 528,243 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 467,776
Given numbers has no common factors except 1. So, there LCM is their product i.e 362392
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 467,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,776) x common factors =1 x 1 = 1
LCM(467,776) = ( 467 × 776 ) / 1
LCM(467,776) = 362392 / 1
LCM(467,776) = 362392
Lets's calculate GCF of 528,243
3 | 528, 243 |
176, 81 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362392/3
Therefore the LCM of Fractions 467/528,776/243 is 362392/3
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 528,243 . The biggest common factor number is the GCF number.
So the greatest common factor 528,243 is 3.
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 467/528, 776/243?
Answer: LCM of Numerators as per given numbers 467/528, 776/243 is
LCM of Numerators i.e. for 467,776 is 362392
GCF of denominators i.e. for 528,243 is 3.
Thus, LCM of Fractions is 362392/3.Finally, LCM of Fractions for 467/528, 776/243 is 362392/3.