Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/80, 63/17, 74/68, 42/846 quickly i.e. 442890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/80, 63/17, 74/68, 42/846 is 442890.
LCM(95/80, 63/17, 74/68, 42/846) = 442890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/80,63/17,74/68,42/846
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 95,63,74,42
Least Common Multiple of Numerators i.e. LCM of 95,63,74,42 is 442890.
GCF of Denominators means GCF of 80,17,68,846 as per the given fractions.
GCF of 80,17,68,846 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,63,74,42
2 | 95, 63, 74, 42 |
3 | 95, 63, 37, 21 |
7 | 95, 7, 37, 21 |
95, 1, 37, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 95 x 1 x 37 x 3 = 442890
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 95,63,74,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,63,74,42) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(95,63,74,42) x common factors =1 x 42 = 42
LCM(95,63,74,42) = ( 95 × 63 × 74 × 42 ) / 42
LCM(95,63,74,42) = 18601380 / 42
LCM(95,63,74,42) = 442890
Lets's calculate GCF of 80,17,68,846
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442890/1
Therefore the LCM of Fractions 95/80,63/17,74/68,42/846 is 442890
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 80,17,68,846 . The biggest common factor number is the GCF number.
So the greatest common factor 80,17,68,846 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 95/80, 63/17, 74/68, 42/846?
Answer: LCM of Numerators as per given numbers 95/80, 63/17, 74/68, 42/846 is
LCM of Numerators i.e. for 95,63,74,42 is 442890
GCF of denominators i.e. for 80,17,68,846 is 1.
Thus, LCM of Fractions is 442890.Finally, LCM of Fractions for 95/80, 63/17, 74/68, 42/846 is 442890.