Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/65, 28/168, 818/126 quickly i.e. 904708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/65, 28/168, 818/126 is 904708.
LCM(79/65, 28/168, 818/126) = 904708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/65,28/168,818/126
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 79,28,818
Least Common Multiple of Numerators i.e. LCM of 79,28,818 is 904708.
GCF of Denominators means GCF of 65,168,126 as per the given fractions.
GCF of 65,168,126 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,28,818
2 | 79, 28, 818 |
79, 14, 409 |
∴ So the LCM of the given numbers is 2 x 79 x 14 x 409 = 904708
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 79,28,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,28,818) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,28,818) x common factors =1 x 2 = 2
LCM(79,28,818) = ( 79 × 28 × 818 ) / 2
LCM(79,28,818) = 1809416 / 2
LCM(79,28,818) = 904708
Lets's calculate GCF of 65,168,126
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 904708/1
Therefore the LCM of Fractions 79/65,28/168,818/126 is 904708
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 65,168,126 . The biggest common factor number is the GCF number.
So the greatest common factor 65,168,126 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 79/65, 28/168, 818/126?
Answer: LCM of Numerators as per given numbers 79/65, 28/168, 818/126 is
LCM of Numerators i.e. for 79,28,818 is 904708
GCF of denominators i.e. for 65,168,126 is 1.
Thus, LCM of Fractions is 904708.Finally, LCM of Fractions for 79/65, 28/168, 818/126 is 904708.