Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/714, 72/446, 574/374 quickly i.e. 113652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/714, 72/446, 574/374 is 113652.
LCM(99/714, 72/446, 574/374) = 113652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/714,72/446,574/374
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 99,72,574
Least Common Multiple of Numerators i.e. LCM of 99,72,574 is 227304.
GCF of Denominators means GCF of 714,446,374 as per the given fractions.
GCF of 714,446,374 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,72,574
2 | 99, 72, 574 |
3 | 99, 36, 287 |
3 | 33, 12, 287 |
11, 4, 287 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 4 x 287 = 227304
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 99,72,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,72,574) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(99,72,574) x common factors =1 x 18 = 18
LCM(99,72,574) = ( 99 × 72 × 574 ) / 18
LCM(99,72,574) = 4091472 / 18
LCM(99,72,574) = 227304
Lets's calculate GCF of 714,446,374
2 | 714, 446, 374 |
357, 223, 187 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227304/2
Therefore the LCM of Fractions 99/714,72/446,574/374 is 113652
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Greatest Common Factor
We found the factors 714,446,374 . The biggest common factor number is the GCF number.
So the greatest common factor 714,446,374 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 99/714, 72/446, 574/374?
Answer: LCM of Numerators as per given numbers 99/714, 72/446, 574/374 is
LCM of Numerators i.e. for 99,72,574 is 227304
GCF of denominators i.e. for 714,446,374 is 2.
Thus, LCM of Fractions is 113652.Finally, LCM of Fractions for 99/714, 72/446, 574/374 is 113652.