Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/93, 142/89, 653/82 quickly i.e. 649082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/93, 142/89, 653/82 is 649082.
LCM(7/93, 142/89, 653/82) = 649082
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/93,142/89,653/82
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 7,142,653
Least Common Multiple of Numerators i.e. LCM of 7,142,653 is 649082.
GCF of Denominators means GCF of 93,89,82 as per the given fractions.
GCF of 93,89,82 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,142,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 649082
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 7,142,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,142,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,142,653) x common factors =1 x 1 = 1
LCM(7,142,653) = ( 7 × 142 × 653 ) / 1
LCM(7,142,653) = 649082 / 1
LCM(7,142,653) = 649082
Lets's calculate GCF of 93,89,82
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649082/1
Therefore the LCM of Fractions 7/93,142/89,653/82 is 649082
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Greatest Common Factor
We found the factors 93,89,82 . The biggest common factor number is the GCF number.
So the greatest common factor 93,89,82 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 7/93, 142/89, 653/82?
Answer: LCM of Numerators as per given numbers 7/93, 142/89, 653/82 is
LCM of Numerators i.e. for 7,142,653 is 649082
GCF of denominators i.e. for 93,89,82 is 1.
Thus, LCM of Fractions is 649082.Finally, LCM of Fractions for 7/93, 142/89, 653/82 is 649082.