Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4117/662, 6528/632 quickly i.e. 13437888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4117/662, 6528/632 is 13437888.
LCM(4117/662, 6528/632) = 13437888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4117/662,6528/632
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 4117,6528
Least Common Multiple of Numerators i.e. LCM of 4117,6528 is 26875776.
GCF of Denominators means GCF of 662,632 as per the given fractions.
GCF of 662,632 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4117,6528
Given numbers has no common factors except 1. So, there LCM is their product i.e 26875776
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 4117,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4117,6528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4117,6528) x common factors =1 x 1 = 1
LCM(4117,6528) = ( 4117 × 6528 ) / 1
LCM(4117,6528) = 26875776 / 1
LCM(4117,6528) = 26875776
Lets's calculate GCF of 662,632
2 | 662, 632 |
331, 316 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26875776/2
Therefore the LCM of Fractions 4117/662,6528/632 is 13437888
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 662,632 . The biggest common factor number is the GCF number.
So the greatest common factor 662,632 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 4117/662, 6528/632?
Answer: LCM of Numerators as per given numbers 4117/662, 6528/632 is
LCM of Numerators i.e. for 4117,6528 is 26875776
GCF of denominators i.e. for 662,632 is 2.
Thus, LCM of Fractions is 13437888.Finally, LCM of Fractions for 4117/662, 6528/632 is 13437888.