Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/614, 111/736, 407/998 quickly i.e. 30525/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/614, 111/736, 407/998 is 30525/2.
LCM(75/614, 111/736, 407/998) = 30525/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/614,111/736,407/998
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 75,111,407
Least Common Multiple of Numerators i.e. LCM of 75,111,407 is 30525.
GCF of Denominators means GCF of 614,736,998 as per the given fractions.
GCF of 614,736,998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,111,407
3 | 75, 111, 407 |
37 | 25, 37, 407 |
25, 1, 11 |
∴ So the LCM of the given numbers is 3 x 37 x 25 x 1 x 11 = 30525
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 75,111,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,111,407) = 1
common factors(in case of two or more numbers have common factors) = 111
GCF(75,111,407) x common factors =1 x 111 = 111
LCM(75,111,407) = ( 75 × 111 × 407 ) / 111
LCM(75,111,407) = 3388275 / 111
LCM(75,111,407) = 30525
Lets's calculate GCF of 614,736,998
2 | 614, 736, 998 |
307, 368, 499 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30525/2
Therefore the LCM of Fractions 75/614,111/736,407/998 is 30525/2
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 614,736,998 . The biggest common factor number is the GCF number.
So the greatest common factor 614,736,998 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 75/614, 111/736, 407/998?
Answer: LCM of Numerators as per given numbers 75/614, 111/736, 407/998 is
LCM of Numerators i.e. for 75,111,407 is 30525
GCF of denominators i.e. for 614,736,998 is 2.
Thus, LCM of Fractions is 30525/2.Finally, LCM of Fractions for 75/614, 111/736, 407/998 is 30525/2.