Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 742/89, 305/59, 222/738 quickly i.e. 25120410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 742/89, 305/59, 222/738 is 25120410.
LCM(742/89, 305/59, 222/738) = 25120410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 742/89,305/59,222/738
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 742,305,222
Least Common Multiple of Numerators i.e. LCM of 742,305,222 is 25120410.
GCF of Denominators means GCF of 89,59,738 as per the given fractions.
GCF of 89,59,738 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 742,305,222
2 | 742, 305, 222 |
371, 305, 111 |
∴ So the LCM of the given numbers is 2 x 371 x 305 x 111 = 25120410
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 742,305,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,305,222) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(742,305,222) x common factors =1 x 2 = 2
LCM(742,305,222) = ( 742 × 305 × 222 ) / 2
LCM(742,305,222) = 50240820 / 2
LCM(742,305,222) = 25120410
Lets's calculate GCF of 89,59,738
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25120410/1
Therefore the LCM of Fractions 742/89,305/59,222/738 is 25120410
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 89,59,738 . The biggest common factor number is the GCF number.
So the greatest common factor 89,59,738 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 742/89, 305/59, 222/738?
Answer: LCM of Numerators as per given numbers 742/89, 305/59, 222/738 is
LCM of Numerators i.e. for 742,305,222 is 25120410
GCF of denominators i.e. for 89,59,738 is 1.
Thus, LCM of Fractions is 25120410.Finally, LCM of Fractions for 742/89, 305/59, 222/738 is 25120410.