Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/84, 88/781, 726/879 quickly i.e. 258456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/84, 88/781, 726/879 is 258456.
LCM(89/84, 88/781, 726/879) = 258456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/84,88/781,726/879
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 89,88,726
Least Common Multiple of Numerators i.e. LCM of 89,88,726 is 258456.
GCF of Denominators means GCF of 84,781,879 as per the given fractions.
GCF of 84,781,879 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,88,726
2 | 89, 88, 726 |
11 | 89, 44, 363 |
89, 4, 33 |
∴ So the LCM of the given numbers is 2 x 11 x 89 x 4 x 33 = 258456
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 89,88,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,88,726) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(89,88,726) x common factors =1 x 22 = 22
LCM(89,88,726) = ( 89 × 88 × 726 ) / 22
LCM(89,88,726) = 5686032 / 22
LCM(89,88,726) = 258456
Lets's calculate GCF of 84,781,879
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258456/1
Therefore the LCM of Fractions 89/84,88/781,726/879 is 258456
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Greatest Common Factor
We found the factors 84,781,879 . The biggest common factor number is the GCF number.
So the greatest common factor 84,781,879 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 89/84, 88/781, 726/879?
Answer: LCM of Numerators as per given numbers 89/84, 88/781, 726/879 is
LCM of Numerators i.e. for 89,88,726 is 258456
GCF of denominators i.e. for 84,781,879 is 1.
Thus, LCM of Fractions is 258456.Finally, LCM of Fractions for 89/84, 88/781, 726/879 is 258456.