Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/18, 742/64, 561/891 quickly i.e. 12904122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/18, 742/64, 561/891 is 12904122.
LCM(62/18, 742/64, 561/891) = 12904122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/18,742/64,561/891
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 62,742,561
Least Common Multiple of Numerators i.e. LCM of 62,742,561 is 12904122.
GCF of Denominators means GCF of 18,64,891 as per the given fractions.
GCF of 18,64,891 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,742,561
2 | 62, 742, 561 |
31, 371, 561 |
∴ So the LCM of the given numbers is 2 x 31 x 371 x 561 = 12904122
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 62,742,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,742,561) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,742,561) x common factors =1 x 2 = 2
LCM(62,742,561) = ( 62 × 742 × 561 ) / 2
LCM(62,742,561) = 25808244 / 2
LCM(62,742,561) = 12904122
Lets's calculate GCF of 18,64,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12904122/1
Therefore the LCM of Fractions 62/18,742/64,561/891 is 12904122
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 18,64,891 . The biggest common factor number is the GCF number.
So the greatest common factor 18,64,891 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 62/18, 742/64, 561/891?
Answer: LCM of Numerators as per given numbers 62/18, 742/64, 561/891 is
LCM of Numerators i.e. for 62,742,561 is 12904122
GCF of denominators i.e. for 18,64,891 is 1.
Thus, LCM of Fractions is 12904122.Finally, LCM of Fractions for 62/18, 742/64, 561/891 is 12904122.