Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/262, 524/572, 479/666 quickly i.e. 11922310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/262, 524/572, 479/666 is 11922310.
LCM(95/262, 524/572, 479/666) = 11922310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/262,524/572,479/666
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 95,524,479
Least Common Multiple of Numerators i.e. LCM of 95,524,479 is 23844620.
GCF of Denominators means GCF of 262,572,666 as per the given fractions.
GCF of 262,572,666 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,524,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 23844620
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 95,524,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,524,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,524,479) x common factors =1 x 1 = 1
LCM(95,524,479) = ( 95 × 524 × 479 ) / 1
LCM(95,524,479) = 23844620 / 1
LCM(95,524,479) = 23844620
Lets's calculate GCF of 262,572,666
2 | 262, 572, 666 |
131, 286, 333 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23844620/2
Therefore the LCM of Fractions 95/262,524/572,479/666 is 11922310
Factors of 262
List of positive integer factors of 262 that divides 262 without a remainder.
1,2,131,262
Factors of 572
List of positive integer factors of 572 that divides 572 without a remainder.
1,2,4,11,13,22,26,44,52,143,286,572
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 262,572,666 . The biggest common factor number is the GCF number.
So the greatest common factor 262,572,666 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 95/262, 524/572, 479/666?
Answer: LCM of Numerators as per given numbers 95/262, 524/572, 479/666 is
LCM of Numerators i.e. for 95,524,479 is 23844620
GCF of denominators i.e. for 262,572,666 is 2.
Thus, LCM of Fractions is 11922310.Finally, LCM of Fractions for 95/262, 524/572, 479/666 is 11922310.