Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 286/306, 196/258, 459/632 quickly i.e. 6432426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 286/306, 196/258, 459/632 is 6432426.
LCM(286/306, 196/258, 459/632) = 6432426
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 286/306,196/258,459/632
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 286,196,459
Least Common Multiple of Numerators i.e. LCM of 286,196,459 is 12864852.
GCF of Denominators means GCF of 306,258,632 as per the given fractions.
GCF of 306,258,632 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 286,196,459
2 | 286, 196, 459 |
143, 98, 459 |
∴ So the LCM of the given numbers is 2 x 143 x 98 x 459 = 12864852
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 286,196,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,196,459) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(286,196,459) x common factors =1 x 2 = 2
LCM(286,196,459) = ( 286 × 196 × 459 ) / 2
LCM(286,196,459) = 25729704 / 2
LCM(286,196,459) = 12864852
Lets's calculate GCF of 306,258,632
2 | 306, 258, 632 |
153, 129, 316 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12864852/2
Therefore the LCM of Fractions 286/306,196/258,459/632 is 6432426
Factors of 306
List of positive integer factors of 306 that divides 306 without a remainder.
1,2,3,6,9,17,18,34,51,102,153,306
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 306,258,632 . The biggest common factor number is the GCF number.
So the greatest common factor 306,258,632 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 286/306, 196/258, 459/632?
Answer: LCM of Numerators as per given numbers 286/306, 196/258, 459/632 is
LCM of Numerators i.e. for 286,196,459 is 12864852
GCF of denominators i.e. for 306,258,632 is 2.
Thus, LCM of Fractions is 6432426.Finally, LCM of Fractions for 286/306, 196/258, 459/632 is 6432426.