Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/453, 497/985, 907/905 quickly i.e. 19834276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/453, 497/985, 907/905 is 19834276.
LCM(44/453, 497/985, 907/905) = 19834276
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/453,497/985,907/905
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 44,497,907
Least Common Multiple of Numerators i.e. LCM of 44,497,907 is 19834276.
GCF of Denominators means GCF of 453,985,905 as per the given fractions.
GCF of 453,985,905 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,497,907
Given numbers has no common factors except 1. So, there LCM is their product i.e 19834276
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 44,497,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,497,907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,497,907) x common factors =1 x 1 = 1
LCM(44,497,907) = ( 44 × 497 × 907 ) / 1
LCM(44,497,907) = 19834276 / 1
LCM(44,497,907) = 19834276
Lets's calculate GCF of 453,985,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19834276/1
Therefore the LCM of Fractions 44/453,497/985,907/905 is 19834276
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Greatest Common Factor
We found the factors 453,985,905 . The biggest common factor number is the GCF number.
So the greatest common factor 453,985,905 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 44/453, 497/985, 907/905?
Answer: LCM of Numerators as per given numbers 44/453, 497/985, 907/905 is
LCM of Numerators i.e. for 44,497,907 is 19834276
GCF of denominators i.e. for 453,985,905 is 1.
Thus, LCM of Fractions is 19834276.Finally, LCM of Fractions for 44/453, 497/985, 907/905 is 19834276.