Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 688/848, 581/282 quickly i.e. 199864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 688/848, 581/282 is 199864.
LCM(688/848, 581/282) = 199864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 688/848,581/282
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 688,581
Least Common Multiple of Numerators i.e. LCM of 688,581 is 399728.
GCF of Denominators means GCF of 848,282 as per the given fractions.
GCF of 848,282 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 688,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 399728
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 688,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,581) x common factors =1 x 1 = 1
LCM(688,581) = ( 688 × 581 ) / 1
LCM(688,581) = 399728 / 1
LCM(688,581) = 399728
Lets's calculate GCF of 848,282
2 | 848, 282 |
424, 141 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 399728/2
Therefore the LCM of Fractions 688/848,581/282 is 199864
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
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 848,282 . The biggest common factor number is the GCF number.
So the greatest common factor 848,282 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 688/848, 581/282?
Answer: LCM of Numerators as per given numbers 688/848, 581/282 is
LCM of Numerators i.e. for 688,581 is 399728
GCF of denominators i.e. for 848,282 is 2.
Thus, LCM of Fractions is 199864.Finally, LCM of Fractions for 688/848, 581/282 is 199864.