Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/99, 49/15, 653/352 quickly i.e. 2495766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/99, 49/15, 653/352 is 2495766.
LCM(78/99, 49/15, 653/352) = 2495766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/99,49/15,653/352
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 78,49,653
Least Common Multiple of Numerators i.e. LCM of 78,49,653 is 2495766.
GCF of Denominators means GCF of 99,15,352 as per the given fractions.
GCF of 99,15,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,49,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 2495766
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 78,49,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,49,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,49,653) x common factors =1 x 1 = 1
LCM(78,49,653) = ( 78 × 49 × 653 ) / 1
LCM(78,49,653) = 2495766 / 1
LCM(78,49,653) = 2495766
Lets's calculate GCF of 99,15,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2495766/1
Therefore the LCM of Fractions 78/99,49/15,653/352 is 2495766
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 99,15,352 . The biggest common factor number is the GCF number.
So the greatest common factor 99,15,352 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 78/99, 49/15, 653/352?
Answer: LCM of Numerators as per given numbers 78/99, 49/15, 653/352 is
LCM of Numerators i.e. for 78,49,653 is 2495766
GCF of denominators i.e. for 99,15,352 is 1.
Thus, LCM of Fractions is 2495766.Finally, LCM of Fractions for 78/99, 49/15, 653/352 is 2495766.