Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/627, 6123/9876 quickly i.e. 151034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/627, 6123/9876 is 151034.
LCM(74/627, 6123/9876) = 151034
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/627,6123/9876
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 74,6123
Least Common Multiple of Numerators i.e. LCM of 74,6123 is 453102.
GCF of Denominators means GCF of 627,9876 as per the given fractions.
GCF of 627,9876 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,6123
Given numbers has no common factors except 1. So, there LCM is their product i.e 453102
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 74,6123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,6123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,6123) x common factors =1 x 1 = 1
LCM(74,6123) = ( 74 × 6123 ) / 1
LCM(74,6123) = 453102 / 1
LCM(74,6123) = 453102
Lets's calculate GCF of 627,9876
3 | 627, 9876 |
209, 3292 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453102/3
Therefore the LCM of Fractions 74/627,6123/9876 is 151034
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 9876
List of positive integer factors of 9876 that divides 9876 without a remainder.
1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Greatest Common Factor
We found the factors 627,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 627,9876 is 3.
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 74/627, 6123/9876?
Answer: LCM of Numerators as per given numbers 74/627, 6123/9876 is
LCM of Numerators i.e. for 74,6123 is 453102
GCF of denominators i.e. for 627,9876 is 3.
Thus, LCM of Fractions is 151034.Finally, LCM of Fractions for 74/627, 6123/9876 is 151034.