Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/267, 464/958, 603/656 quickly i.e. 8673552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/267, 464/958, 603/656 is 8673552.
LCM(62/267, 464/958, 603/656) = 8673552
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/267,464/958,603/656
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 62,464,603
Least Common Multiple of Numerators i.e. LCM of 62,464,603 is 8673552.
GCF of Denominators means GCF of 267,958,656 as per the given fractions.
GCF of 267,958,656 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,464,603
2 | 62, 464, 603 |
31, 232, 603 |
∴ So the LCM of the given numbers is 2 x 31 x 232 x 603 = 8673552
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 62,464,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,464,603) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,464,603) x common factors =1 x 2 = 2
LCM(62,464,603) = ( 62 × 464 × 603 ) / 2
LCM(62,464,603) = 17347104 / 2
LCM(62,464,603) = 8673552
Lets's calculate GCF of 267,958,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8673552/1
Therefore the LCM of Fractions 62/267,464/958,603/656 is 8673552
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 267,958,656 . The biggest common factor number is the GCF number.
So the greatest common factor 267,958,656 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 62/267, 464/958, 603/656?
Answer: LCM of Numerators as per given numbers 62/267, 464/958, 603/656 is
LCM of Numerators i.e. for 62,464,603 is 8673552
GCF of denominators i.e. for 267,958,656 is 1.
Thus, LCM of Fractions is 8673552.Finally, LCM of Fractions for 62/267, 464/958, 603/656 is 8673552.