Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/137, 213/678, 554/240 quickly i.e. 3894066 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/137, 213/678, 554/240 is 3894066.
LCM(99/137, 213/678, 554/240) = 3894066
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/137,213/678,554/240
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 99,213,554
Least Common Multiple of Numerators i.e. LCM of 99,213,554 is 3894066.
GCF of Denominators means GCF of 137,678,240 as per the given fractions.
GCF of 137,678,240 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,213,554
3 | 99, 213, 554 |
33, 71, 554 |
∴ So the LCM of the given numbers is 3 x 33 x 71 x 554 = 3894066
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 99,213,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,213,554) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(99,213,554) x common factors =1 x 3 = 3
LCM(99,213,554) = ( 99 × 213 × 554 ) / 3
LCM(99,213,554) = 11682198 / 3
LCM(99,213,554) = 3894066
Lets's calculate GCF of 137,678,240
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3894066/1
Therefore the LCM of Fractions 99/137,213/678,554/240 is 3894066
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 240
List of positive integer factors of 240 that divides 240 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Greatest Common Factor
We found the factors 137,678,240 . The biggest common factor number is the GCF number.
So the greatest common factor 137,678,240 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 99/137, 213/678, 554/240?
Answer: LCM of Numerators as per given numbers 99/137, 213/678, 554/240 is
LCM of Numerators i.e. for 99,213,554 is 3894066
GCF of denominators i.e. for 137,678,240 is 1.
Thus, LCM of Fractions is 3894066.Finally, LCM of Fractions for 99/137, 213/678, 554/240 is 3894066.