Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 153/218, 1060/532 quickly i.e. 81090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 153/218, 1060/532 is 81090.
LCM(153/218, 1060/532) = 81090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 153/218,1060/532
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 153,1060
Least Common Multiple of Numerators i.e. LCM of 153,1060 is 162180.
GCF of Denominators means GCF of 218,532 as per the given fractions.
GCF of 218,532 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 153,1060
Given numbers has no common factors except 1. So, there LCM is their product i.e 162180
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 153,1060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,1060) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,1060) x common factors =1 x 1 = 1
LCM(153,1060) = ( 153 × 1060 ) / 1
LCM(153,1060) = 162180 / 1
LCM(153,1060) = 162180
Lets's calculate GCF of 218,532
2 | 218, 532 |
109, 266 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162180/2
Therefore the LCM of Fractions 153/218,1060/532 is 81090
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 218,532 . The biggest common factor number is the GCF number.
So the greatest common factor 218,532 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 153/218, 1060/532?
Answer: LCM of Numerators as per given numbers 153/218, 1060/532 is
LCM of Numerators i.e. for 153,1060 is 162180
GCF of denominators i.e. for 218,532 is 2.
Thus, LCM of Fractions is 81090.Finally, LCM of Fractions for 153/218, 1060/532 is 81090.