Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 146/959, 674/489, 531/550 quickly i.e. 26126262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 146/959, 674/489, 531/550 is 26126262.
LCM(146/959, 674/489, 531/550) = 26126262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 146/959,674/489,531/550
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 146,674,531
Least Common Multiple of Numerators i.e. LCM of 146,674,531 is 26126262.
GCF of Denominators means GCF of 959,489,550 as per the given fractions.
GCF of 959,489,550 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 146,674,531
2 | 146, 674, 531 |
73, 337, 531 |
∴ So the LCM of the given numbers is 2 x 73 x 337 x 531 = 26126262
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 146,674,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,674,531) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(146,674,531) x common factors =1 x 2 = 2
LCM(146,674,531) = ( 146 × 674 × 531 ) / 2
LCM(146,674,531) = 52252524 / 2
LCM(146,674,531) = 26126262
Lets's calculate GCF of 959,489,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26126262/1
Therefore the LCM of Fractions 146/959,674/489,531/550 is 26126262
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
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 959,489,550 . The biggest common factor number is the GCF number.
So the greatest common factor 959,489,550 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 146/959, 674/489, 531/550?
Answer: LCM of Numerators as per given numbers 146/959, 674/489, 531/550 is
LCM of Numerators i.e. for 146,674,531 is 26126262
GCF of denominators i.e. for 959,489,550 is 1.
Thus, LCM of Fractions is 26126262.Finally, LCM of Fractions for 146/959, 674/489, 531/550 is 26126262.