Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/58, 89/49, 47/51, 19/222 quickly i.e. 6437637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/58, 89/49, 47/51, 19/222 is 6437637.
LCM(81/58, 89/49, 47/51, 19/222) = 6437637
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/58,89/49,47/51,19/222
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 81,89,47,19
Least Common Multiple of Numerators i.e. LCM of 81,89,47,19 is 6437637.
GCF of Denominators means GCF of 58,49,51,222 as per the given fractions.
GCF of 58,49,51,222 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,89,47,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 6437637
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 81,89,47,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,89,47,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,89,47,19) x common factors =1 x 1 = 1
LCM(81,89,47,19) = ( 81 × 89 × 47 × 19 ) / 1
LCM(81,89,47,19) = 6437637 / 1
LCM(81,89,47,19) = 6437637
Lets's calculate GCF of 58,49,51,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6437637/1
Therefore the LCM of Fractions 81/58,89/49,47/51,19/222 is 6437637
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 58,49,51,222 . The biggest common factor number is the GCF number.
So the greatest common factor 58,49,51,222 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 81/58, 89/49, 47/51, 19/222?
Answer: LCM of Numerators as per given numbers 81/58, 89/49, 47/51, 19/222 is
LCM of Numerators i.e. for 81,89,47,19 is 6437637
GCF of denominators i.e. for 58,49,51,222 is 1.
Thus, LCM of Fractions is 6437637.Finally, LCM of Fractions for 81/58, 89/49, 47/51, 19/222 is 6437637.