Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/251, 972/637, 144/373 quickly i.e. 3888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/251, 972/637, 144/373 is 3888.
LCM(72/251, 972/637, 144/373) = 3888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/251,972/637,144/373
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 72,972,144
Least Common Multiple of Numerators i.e. LCM of 72,972,144 is 3888.
GCF of Denominators means GCF of 251,637,373 as per the given fractions.
GCF of 251,637,373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,972,144
2 | 72, 972, 144 |
2 | 36, 486, 72 |
2 | 18, 243, 36 |
3 | 9, 243, 18 |
3 | 3, 81, 6 |
1, 27, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 27 x 2 = 3888
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 72,972,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,972,144) = 36
common factors(in case of two or more numbers have common factors) = 72
GCF(72,972,144) x common factors =36 x 72 = 2592
LCM(72,972,144) = ( 72 × 972 × 144 ) / 2592
LCM(72,972,144) = 10077696 / 2592
LCM(72,972,144) = 3888
Lets's calculate GCF of 251,637,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3888/1
Therefore the LCM of Fractions 72/251,972/637,144/373 is 3888
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 251,637,373 . The biggest common factor number is the GCF number.
So the greatest common factor 251,637,373 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 72/251, 972/637, 144/373?
Answer: LCM of Numerators as per given numbers 72/251, 972/637, 144/373 is
LCM of Numerators i.e. for 72,972,144 is 3888
GCF of denominators i.e. for 251,637,373 is 1.
Thus, LCM of Fractions is 3888.Finally, LCM of Fractions for 72/251, 972/637, 144/373 is 3888.