Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/64, 67/52, 53/93, 44/697 quickly i.e. 3281124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/64, 67/52, 53/93, 44/697 is 3281124.
LCM(42/64, 67/52, 53/93, 44/697) = 3281124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/64,67/52,53/93,44/697
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 42,67,53,44
Least Common Multiple of Numerators i.e. LCM of 42,67,53,44 is 3281124.
GCF of Denominators means GCF of 64,52,93,697 as per the given fractions.
GCF of 64,52,93,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,67,53,44
2 | 42, 67, 53, 44 |
21, 67, 53, 22 |
∴ So the LCM of the given numbers is 2 x 21 x 67 x 53 x 22 = 3281124
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 42,67,53,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,67,53,44) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,67,53,44) x common factors =1 x 2 = 2
LCM(42,67,53,44) = ( 42 × 67 × 53 × 44 ) / 2
LCM(42,67,53,44) = 6562248 / 2
LCM(42,67,53,44) = 3281124
Lets's calculate GCF of 64,52,93,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3281124/1
Therefore the LCM of Fractions 42/64,67/52,53/93,44/697 is 3281124
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 64,52,93,697 . The biggest common factor number is the GCF number.
So the greatest common factor 64,52,93,697 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 42/64, 67/52, 53/93, 44/697?
Answer: LCM of Numerators as per given numbers 42/64, 67/52, 53/93, 44/697 is
LCM of Numerators i.e. for 42,67,53,44 is 3281124
GCF of denominators i.e. for 64,52,93,697 is 1.
Thus, LCM of Fractions is 3281124.Finally, LCM of Fractions for 42/64, 67/52, 53/93, 44/697 is 3281124.