Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 702/54, 611/8889 quickly i.e. 10998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 702/54, 611/8889 is 10998.
LCM(702/54, 611/8889) = 10998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 702/54,611/8889
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 702,611
Least Common Multiple of Numerators i.e. LCM of 702,611 is 32994.
GCF of Denominators means GCF of 54,8889 as per the given fractions.
GCF of 54,8889 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 702,611
13 | 702, 611 |
54, 47 |
∴ So the LCM of the given numbers is 13 x 54 x 47 = 32994
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 702,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,611) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(702,611) x common factors =13 x 1 = 13
LCM(702,611) = ( 702 × 611 ) / 13
LCM(702,611) = 428922 / 13
LCM(702,611) = 32994
Lets's calculate GCF of 54,8889
3 | 54, 8889 |
18, 2963 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32994/3
Therefore the LCM of Fractions 702/54,611/8889 is 10998
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 8889
List of positive integer factors of 8889 that divides 8889 without a remainder.
1,3,2963,8889
Greatest Common Factor
We found the factors 54,8889 . The biggest common factor number is the GCF number.
So the greatest common factor 54,8889 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 702/54, 611/8889?
Answer: LCM of Numerators as per given numbers 702/54, 611/8889 is
LCM of Numerators i.e. for 702,611 is 32994
GCF of denominators i.e. for 54,8889 is 3.
Thus, LCM of Fractions is 10998.Finally, LCM of Fractions for 702/54, 611/8889 is 10998.