Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/80, 46/85, 70/43, 70/579 quickly i.e. 70840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/80, 46/85, 70/43, 70/579 is 70840.
LCM(88/80, 46/85, 70/43, 70/579) = 70840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/80,46/85,70/43,70/579
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 88,46,70,70
Least Common Multiple of Numerators i.e. LCM of 88,46,70,70 is 70840.
GCF of Denominators means GCF of 80,85,43,579 as per the given fractions.
GCF of 80,85,43,579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,46,70,70
2 | 88, 46, 70, 70 |
5 | 44, 23, 35, 35 |
7 | 44, 23, 7, 7 |
44, 23, 1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 44 x 23 x 1 x 1 = 70840
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 88,46,70,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,46,70,70) = 2
common factors(in case of two or more numbers have common factors) = 140
GCF(88,46,70,70) x common factors =2 x 140 = 280
LCM(88,46,70,70) = ( 88 × 46 × 70 × 70 ) / 280
LCM(88,46,70,70) = 19835200 / 280
LCM(88,46,70,70) = 70840
Lets's calculate GCF of 80,85,43,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70840/1
Therefore the LCM of Fractions 88/80,46/85,70/43,70/579 is 70840
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 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors 80,85,43,579 . The biggest common factor number is the GCF number.
So the greatest common factor 80,85,43,579 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 88/80, 46/85, 70/43, 70/579?
Answer: LCM of Numerators as per given numbers 88/80, 46/85, 70/43, 70/579 is
LCM of Numerators i.e. for 88,46,70,70 is 70840
GCF of denominators i.e. for 80,85,43,579 is 1.
Thus, LCM of Fractions is 70840.Finally, LCM of Fractions for 88/80, 46/85, 70/43, 70/579 is 70840.