Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/536, 23/602, 763/666 quickly i.e. 1281077/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/536, 23/602, 763/666 is 1281077/2.
LCM(73/536, 23/602, 763/666) = 1281077/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/536,23/602,763/666
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 73,23,763
Least Common Multiple of Numerators i.e. LCM of 73,23,763 is 1281077.
GCF of Denominators means GCF of 536,602,666 as per the given fractions.
GCF of 536,602,666 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,23,763
Given numbers has no common factors except 1. So, there LCM is their product i.e 1281077
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 73,23,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,23,763) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,23,763) x common factors =1 x 1 = 1
LCM(73,23,763) = ( 73 × 23 × 763 ) / 1
LCM(73,23,763) = 1281077 / 1
LCM(73,23,763) = 1281077
Lets's calculate GCF of 536,602,666
2 | 536, 602, 666 |
268, 301, 333 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1281077/2
Therefore the LCM of Fractions 73/536,23/602,763/666 is 1281077/2
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 536,602,666 . The biggest common factor number is the GCF number.
So the greatest common factor 536,602,666 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 73/536, 23/602, 763/666?
Answer: LCM of Numerators as per given numbers 73/536, 23/602, 763/666 is
LCM of Numerators i.e. for 73,23,763 is 1281077
GCF of denominators i.e. for 536,602,666 is 2.
Thus, LCM of Fractions is 1281077/2.Finally, LCM of Fractions for 73/536, 23/602, 763/666 is 1281077/2.