Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 210/28, 875/45, 399/322 quickly i.e. 99750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 210/28, 875/45, 399/322 is 99750.
LCM(210/28, 875/45, 399/322) = 99750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 210/28,875/45,399/322
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 210,875,399
Least Common Multiple of Numerators i.e. LCM of 210,875,399 is 99750.
GCF of Denominators means GCF of 28,45,322 as per the given fractions.
GCF of 28,45,322 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 210,875,399
3 | 210, 875, 399 |
5 | 70, 875, 133 |
7 | 14, 175, 133 |
2, 25, 19 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 2 x 25 x 19 = 99750
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 210,875,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,875,399) = 7
common factors(in case of two or more numbers have common factors) = 105
GCF(210,875,399) x common factors =7 x 105 = 735
LCM(210,875,399) = ( 210 × 875 × 399 ) / 735
LCM(210,875,399) = 73316250 / 735
LCM(210,875,399) = 99750
Lets's calculate GCF of 28,45,322
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99750/1
Therefore the LCM of Fractions 210/28,875/45,399/322 is 99750
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Greatest Common Factor
We found the factors 28,45,322 . The biggest common factor number is the GCF number.
So the greatest common factor 28,45,322 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 210/28, 875/45, 399/322?
Answer: LCM of Numerators as per given numbers 210/28, 875/45, 399/322 is
LCM of Numerators i.e. for 210,875,399 is 99750
GCF of denominators i.e. for 28,45,322 is 1.
Thus, LCM of Fractions is 99750.Finally, LCM of Fractions for 210/28, 875/45, 399/322 is 99750.