Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 250/16, 975/88, 954/738 quickly i.e. 775125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 250/16, 975/88, 954/738 is 775125.
LCM(250/16, 975/88, 954/738) = 775125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 250/16,975/88,954/738
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 250,975,954
Least Common Multiple of Numerators i.e. LCM of 250,975,954 is 1550250.
GCF of Denominators means GCF of 16,88,738 as per the given fractions.
GCF of 16,88,738 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 250,975,954
2 | 250, 975, 954 |
3 | 125, 975, 477 |
5 | 125, 325, 159 |
5 | 25, 65, 159 |
5, 13, 159 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 5 x 13 x 159 = 1550250
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 250,975,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,975,954) = 1
common factors(in case of two or more numbers have common factors) = 150
GCF(250,975,954) x common factors =1 x 150 = 150
LCM(250,975,954) = ( 250 × 975 × 954 ) / 150
LCM(250,975,954) = 232537500 / 150
LCM(250,975,954) = 1550250
Lets's calculate GCF of 16,88,738
2 | 16, 88, 738 |
8, 44, 369 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1550250/2
Therefore the LCM of Fractions 250/16,975/88,954/738 is 775125
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 738
List of positive integer factors of 738 that divides 738 without a remainder.
1,2,3,6,9,18,41,82,123,246,369,738
Greatest Common Factor
We found the factors 16,88,738 . The biggest common factor number is the GCF number.
So the greatest common factor 16,88,738 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 250/16, 975/88, 954/738?
Answer: LCM of Numerators as per given numbers 250/16, 975/88, 954/738 is
LCM of Numerators i.e. for 250,975,954 is 1550250
GCF of denominators i.e. for 16,88,738 is 2.
Thus, LCM of Fractions is 775125.Finally, LCM of Fractions for 250/16, 975/88, 954/738 is 775125.