Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 551/852, 459/873, 951/527 quickly i.e. 80172153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 551/852, 459/873, 951/527 is 80172153.
LCM(551/852, 459/873, 951/527) = 80172153
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 551/852,459/873,951/527
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 551,459,951
Least Common Multiple of Numerators i.e. LCM of 551,459,951 is 80172153.
GCF of Denominators means GCF of 852,873,527 as per the given fractions.
GCF of 852,873,527 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 551,459,951
3 | 551, 459, 951 |
551, 153, 317 |
∴ So the LCM of the given numbers is 3 x 551 x 153 x 317 = 80172153
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 551,459,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,459,951) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(551,459,951) x common factors =1 x 3 = 3
LCM(551,459,951) = ( 551 × 459 × 951 ) / 3
LCM(551,459,951) = 240516459 / 3
LCM(551,459,951) = 80172153
Lets's calculate GCF of 852,873,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80172153/1
Therefore the LCM of Fractions 551/852,459/873,951/527 is 80172153
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 527
List of positive integer factors of 527 that divides 527 without a remainder.
1,17,31,527
Greatest Common Factor
We found the factors 852,873,527 . The biggest common factor number is the GCF number.
So the greatest common factor 852,873,527 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 551/852, 459/873, 951/527?
Answer: LCM of Numerators as per given numbers 551/852, 459/873, 951/527 is
LCM of Numerators i.e. for 551,459,951 is 80172153
GCF of denominators i.e. for 852,873,527 is 1.
Thus, LCM of Fractions is 80172153.Finally, LCM of Fractions for 551/852, 459/873, 951/527 is 80172153.