Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/914, 124/843, 914/842 quickly i.e. 5610132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/914, 124/843, 914/842 is 5610132.
LCM(99/914, 124/843, 914/842) = 5610132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/914,124/843,914/842
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 99,124,914
Least Common Multiple of Numerators i.e. LCM of 99,124,914 is 5610132.
GCF of Denominators means GCF of 914,843,842 as per the given fractions.
GCF of 914,843,842 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,124,914
2 | 99, 124, 914 |
99, 62, 457 |
∴ So the LCM of the given numbers is 2 x 99 x 62 x 457 = 5610132
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 99,124,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,124,914) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(99,124,914) x common factors =1 x 2 = 2
LCM(99,124,914) = ( 99 × 124 × 914 ) / 2
LCM(99,124,914) = 11220264 / 2
LCM(99,124,914) = 5610132
Lets's calculate GCF of 914,843,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5610132/1
Therefore the LCM of Fractions 99/914,124/843,914/842 is 5610132
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 914,843,842 . The biggest common factor number is the GCF number.
So the greatest common factor 914,843,842 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 99/914, 124/843, 914/842?
Answer: LCM of Numerators as per given numbers 99/914, 124/843, 914/842 is
LCM of Numerators i.e. for 99,124,914 is 5610132
GCF of denominators i.e. for 914,843,842 is 1.
Thus, LCM of Fractions is 5610132.Finally, LCM of Fractions for 99/914, 124/843, 914/842 is 5610132.