Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 429/909, 266/755, 656/426 quickly i.e. 37429392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 429/909, 266/755, 656/426 is 37429392.
LCM(429/909, 266/755, 656/426) = 37429392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 429/909,266/755,656/426
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 429,266,656
Least Common Multiple of Numerators i.e. LCM of 429,266,656 is 37429392.
GCF of Denominators means GCF of 909,755,426 as per the given fractions.
GCF of 909,755,426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 429,266,656
2 | 429, 266, 656 |
429, 133, 328 |
∴ So the LCM of the given numbers is 2 x 429 x 133 x 328 = 37429392
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 429,266,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,266,656) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(429,266,656) x common factors =1 x 2 = 2
LCM(429,266,656) = ( 429 × 266 × 656 ) / 2
LCM(429,266,656) = 74858784 / 2
LCM(429,266,656) = 37429392
Lets's calculate GCF of 909,755,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37429392/1
Therefore the LCM of Fractions 429/909,266/755,656/426 is 37429392
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 909,755,426 . The biggest common factor number is the GCF number.
So the greatest common factor 909,755,426 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 429/909, 266/755, 656/426?
Answer: LCM of Numerators as per given numbers 429/909, 266/755, 656/426 is
LCM of Numerators i.e. for 429,266,656 is 37429392
GCF of denominators i.e. for 909,755,426 is 1.
Thus, LCM of Fractions is 37429392.Finally, LCM of Fractions for 429/909, 266/755, 656/426 is 37429392.