Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 290/95, 294/15, 803/550 quickly i.e. 6846378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 290/95, 294/15, 803/550 is 6846378.
LCM(290/95, 294/15, 803/550) = 6846378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 290/95,294/15,803/550
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 290,294,803
Least Common Multiple of Numerators i.e. LCM of 290,294,803 is 34231890.
GCF of Denominators means GCF of 95,15,550 as per the given fractions.
GCF of 95,15,550 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 290,294,803
2 | 290, 294, 803 |
145, 147, 803 |
∴ So the LCM of the given numbers is 2 x 145 x 147 x 803 = 34231890
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 290,294,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,294,803) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(290,294,803) x common factors =1 x 2 = 2
LCM(290,294,803) = ( 290 × 294 × 803 ) / 2
LCM(290,294,803) = 68463780 / 2
LCM(290,294,803) = 34231890
Lets's calculate GCF of 95,15,550
5 | 95, 15, 550 |
19, 3, 110 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34231890/5
Therefore the LCM of Fractions 290/95,294/15,803/550 is 6846378
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 95,15,550 . The biggest common factor number is the GCF number.
So the greatest common factor 95,15,550 is 5.
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 290/95, 294/15, 803/550?
Answer: LCM of Numerators as per given numbers 290/95, 294/15, 803/550 is
LCM of Numerators i.e. for 290,294,803 is 34231890
GCF of denominators i.e. for 95,15,550 is 5.
Thus, LCM of Fractions is 6846378.Finally, LCM of Fractions for 290/95, 294/15, 803/550 is 6846378.