Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/10, 80/441, 846/234 quickly i.e. 2673360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/10, 80/441, 846/234 is 2673360.
LCM(79/10, 80/441, 846/234) = 2673360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/10,80/441,846/234
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 79,80,846
Least Common Multiple of Numerators i.e. LCM of 79,80,846 is 2673360.
GCF of Denominators means GCF of 10,441,234 as per the given fractions.
GCF of 10,441,234 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,80,846
2 | 79, 80, 846 |
79, 40, 423 |
∴ So the LCM of the given numbers is 2 x 79 x 40 x 423 = 2673360
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 79,80,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,80,846) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(79,80,846) x common factors =1 x 2 = 2
LCM(79,80,846) = ( 79 × 80 × 846 ) / 2
LCM(79,80,846) = 5346720 / 2
LCM(79,80,846) = 2673360
Lets's calculate GCF of 10,441,234
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2673360/1
Therefore the LCM of Fractions 79/10,80/441,846/234 is 2673360
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 10,441,234 . The biggest common factor number is the GCF number.
So the greatest common factor 10,441,234 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 79/10, 80/441, 846/234?
Answer: LCM of Numerators as per given numbers 79/10, 80/441, 846/234 is
LCM of Numerators i.e. for 79,80,846 is 2673360
GCF of denominators i.e. for 10,441,234 is 1.
Thus, LCM of Fractions is 2673360.Finally, LCM of Fractions for 79/10, 80/441, 846/234 is 2673360.