Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2301/534, 4222/152 quickly i.e. 4857411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2301/534, 4222/152 is 4857411.
LCM(2301/534, 4222/152) = 4857411
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2301/534,4222/152
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 2301,4222
Least Common Multiple of Numerators i.e. LCM of 2301,4222 is 9714822.
GCF of Denominators means GCF of 534,152 as per the given fractions.
GCF of 534,152 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2301,4222
Given numbers has no common factors except 1. So, there LCM is their product i.e 9714822
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 2301,4222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2301,4222) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2301,4222) x common factors =1 x 1 = 1
LCM(2301,4222) = ( 2301 × 4222 ) / 1
LCM(2301,4222) = 9714822 / 1
LCM(2301,4222) = 9714822
Lets's calculate GCF of 534,152
2 | 534, 152 |
267, 76 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9714822/2
Therefore the LCM of Fractions 2301/534,4222/152 is 4857411
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 534,152 . The biggest common factor number is the GCF number.
So the greatest common factor 534,152 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 2301/534, 4222/152?
Answer: LCM of Numerators as per given numbers 2301/534, 4222/152 is
LCM of Numerators i.e. for 2301,4222 is 9714822
GCF of denominators i.e. for 534,152 is 2.
Thus, LCM of Fractions is 4857411.Finally, LCM of Fractions for 2301/534, 4222/152 is 4857411.