Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/958, 98/942, 998/880 quickly i.e. 1784923 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/958, 98/942, 998/880 is 1784923.
LCM(73/958, 98/942, 998/880) = 1784923
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/958,98/942,998/880
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 73,98,998
Least Common Multiple of Numerators i.e. LCM of 73,98,998 is 3569846.
GCF of Denominators means GCF of 958,942,880 as per the given fractions.
GCF of 958,942,880 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,98,998
2 | 73, 98, 998 |
73, 49, 499 |
∴ So the LCM of the given numbers is 2 x 73 x 49 x 499 = 3569846
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 73,98,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,98,998) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,98,998) x common factors =1 x 2 = 2
LCM(73,98,998) = ( 73 × 98 × 998 ) / 2
LCM(73,98,998) = 7139692 / 2
LCM(73,98,998) = 3569846
Lets's calculate GCF of 958,942,880
2 | 958, 942, 880 |
479, 471, 440 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3569846/2
Therefore the LCM of Fractions 73/958,98/942,998/880 is 1784923
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 880
List of positive integer factors of 880 that divides 880 without a remainder.
1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880
Greatest Common Factor
We found the factors 958,942,880 . The biggest common factor number is the GCF number.
So the greatest common factor 958,942,880 is 2.
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 73/958, 98/942, 998/880?
Answer: LCM of Numerators as per given numbers 73/958, 98/942, 998/880 is
LCM of Numerators i.e. for 73,98,998 is 3569846
GCF of denominators i.e. for 958,942,880 is 2.
Thus, LCM of Fractions is 1784923.Finally, LCM of Fractions for 73/958, 98/942, 998/880 is 1784923.