Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 555/906, 755/334, 126/622 quickly i.e. 1759905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 555/906, 755/334, 126/622 is 1759905.
LCM(555/906, 755/334, 126/622) = 1759905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 555/906,755/334,126/622
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 555,755,126
Least Common Multiple of Numerators i.e. LCM of 555,755,126 is 3519810.
GCF of Denominators means GCF of 906,334,622 as per the given fractions.
GCF of 906,334,622 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 555,755,126
3 | 555, 755, 126 |
5 | 185, 755, 42 |
37, 151, 42 |
∴ So the LCM of the given numbers is 3 x 5 x 37 x 151 x 42 = 3519810
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 555,755,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,755,126) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(555,755,126) x common factors =1 x 15 = 15
LCM(555,755,126) = ( 555 × 755 × 126 ) / 15
LCM(555,755,126) = 52797150 / 15
LCM(555,755,126) = 3519810
Lets's calculate GCF of 906,334,622
2 | 906, 334, 622 |
453, 167, 311 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3519810/2
Therefore the LCM of Fractions 555/906,755/334,126/622 is 1759905
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 906,334,622 . The biggest common factor number is the GCF number.
So the greatest common factor 906,334,622 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 555/906, 755/334, 126/622?
Answer: LCM of Numerators as per given numbers 555/906, 755/334, 126/622 is
LCM of Numerators i.e. for 555,755,126 is 3519810
GCF of denominators i.e. for 906,334,622 is 2.
Thus, LCM of Fractions is 1759905.Finally, LCM of Fractions for 555/906, 755/334, 126/622 is 1759905.