Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/650, 63/374, 543/690 quickly i.e. 262269/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/650, 63/374, 543/690 is 262269/2.
LCM(69/650, 63/374, 543/690) = 262269/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/650,63/374,543/690
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 69,63,543
Least Common Multiple of Numerators i.e. LCM of 69,63,543 is 262269.
GCF of Denominators means GCF of 650,374,690 as per the given fractions.
GCF of 650,374,690 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,63,543
3 | 69, 63, 543 |
23, 21, 181 |
∴ So the LCM of the given numbers is 3 x 23 x 21 x 181 = 262269
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 69,63,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,63,543) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(69,63,543) x common factors =3 x 3 = 9
LCM(69,63,543) = ( 69 × 63 × 543 ) / 9
LCM(69,63,543) = 2360421 / 9
LCM(69,63,543) = 262269
Lets's calculate GCF of 650,374,690
2 | 650, 374, 690 |
325, 187, 345 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262269/2
Therefore the LCM of Fractions 69/650,63/374,543/690 is 262269/2
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Greatest Common Factor
We found the factors 650,374,690 . The biggest common factor number is the GCF number.
So the greatest common factor 650,374,690 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 69/650, 63/374, 543/690?
Answer: LCM of Numerators as per given numbers 69/650, 63/374, 543/690 is
LCM of Numerators i.e. for 69,63,543 is 262269
GCF of denominators i.e. for 650,374,690 is 2.
Thus, LCM of Fractions is 262269/2.Finally, LCM of Fractions for 69/650, 63/374, 543/690 is 262269/2.