Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/151, 6123/9222 quickly i.e. 177567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/151, 6123/9222 is 177567.
LCM(87/151, 6123/9222) = 177567
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/151,6123/9222
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 87,6123
Least Common Multiple of Numerators i.e. LCM of 87,6123 is 177567.
GCF of Denominators means GCF of 151,9222 as per the given fractions.
GCF of 151,9222 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,6123
3 | 87, 6123 |
29, 2041 |
∴ So the LCM of the given numbers is 3 x 29 x 2041 = 177567
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 87,6123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,6123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,6123) x common factors =3 x 1 = 3
LCM(87,6123) = ( 87 × 6123 ) / 3
LCM(87,6123) = 532701 / 3
LCM(87,6123) = 177567
Lets's calculate GCF of 151,9222
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177567/1
Therefore the LCM of Fractions 87/151,6123/9222 is 177567
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Factors of 9222
List of positive integer factors of 9222 that divides 9222 without a remainder.
1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222
Greatest Common Factor
We found the factors 151,9222 . The biggest common factor number is the GCF number.
So the greatest common factor 151,9222 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 87/151, 6123/9222?
Answer: LCM of Numerators as per given numbers 87/151, 6123/9222 is
LCM of Numerators i.e. for 87,6123 is 177567
GCF of denominators i.e. for 151,9222 is 1.
Thus, LCM of Fractions is 177567.Finally, LCM of Fractions for 87/151, 6123/9222 is 177567.