Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 753/964, 843/890, 396/190 quickly i.e. 13965138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 753/964, 843/890, 396/190 is 13965138.
LCM(753/964, 843/890, 396/190) = 13965138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 753/964,843/890,396/190
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 753,843,396
Least Common Multiple of Numerators i.e. LCM of 753,843,396 is 27930276.
GCF of Denominators means GCF of 964,890,190 as per the given fractions.
GCF of 964,890,190 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 753,843,396
3 | 753, 843, 396 |
251, 281, 132 |
∴ So the LCM of the given numbers is 3 x 251 x 281 x 132 = 27930276
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 753,843,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,843,396) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(753,843,396) x common factors =3 x 3 = 9
LCM(753,843,396) = ( 753 × 843 × 396 ) / 9
LCM(753,843,396) = 251372484 / 9
LCM(753,843,396) = 27930276
Lets's calculate GCF of 964,890,190
2 | 964, 890, 190 |
482, 445, 95 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27930276/2
Therefore the LCM of Fractions 753/964,843/890,396/190 is 13965138
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 964,890,190 . The biggest common factor number is the GCF number.
So the greatest common factor 964,890,190 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 753/964, 843/890, 396/190?
Answer: LCM of Numerators as per given numbers 753/964, 843/890, 396/190 is
LCM of Numerators i.e. for 753,843,396 is 27930276
GCF of denominators i.e. for 964,890,190 is 2.
Thus, LCM of Fractions is 13965138.Finally, LCM of Fractions for 753/964, 843/890, 396/190 is 13965138.