Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 357/288, 934/728, 271/282 quickly i.e. 45180849 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 357/288, 934/728, 271/282 is 45180849.
LCM(357/288, 934/728, 271/282) = 45180849
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 357/288,934/728,271/282
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 357,934,271
Least Common Multiple of Numerators i.e. LCM of 357,934,271 is 90361698.
GCF of Denominators means GCF of 288,728,282 as per the given fractions.
GCF of 288,728,282 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 357,934,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 90361698
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 357,934,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,934,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(357,934,271) x common factors =1 x 1 = 1
LCM(357,934,271) = ( 357 × 934 × 271 ) / 1
LCM(357,934,271) = 90361698 / 1
LCM(357,934,271) = 90361698
Lets's calculate GCF of 288,728,282
2 | 288, 728, 282 |
144, 364, 141 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90361698/2
Therefore the LCM of Fractions 357/288,934/728,271/282 is 45180849
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 288,728,282 . The biggest common factor number is the GCF number.
So the greatest common factor 288,728,282 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 357/288, 934/728, 271/282?
Answer: LCM of Numerators as per given numbers 357/288, 934/728, 271/282 is
LCM of Numerators i.e. for 357,934,271 is 90361698
GCF of denominators i.e. for 288,728,282 is 2.
Thus, LCM of Fractions is 45180849.Finally, LCM of Fractions for 357/288, 934/728, 271/282 is 45180849.