Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/86, 81/72, 176/79 quickly i.e. 698544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/86, 81/72, 176/79 is 698544.
LCM(98/86, 81/72, 176/79) = 698544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/86,81/72,176/79
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 98,81,176
Least Common Multiple of Numerators i.e. LCM of 98,81,176 is 698544.
GCF of Denominators means GCF of 86,72,79 as per the given fractions.
GCF of 86,72,79 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,81,176
2 | 98, 81, 176 |
49, 81, 88 |
∴ So the LCM of the given numbers is 2 x 49 x 81 x 88 = 698544
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 98,81,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,81,176) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,81,176) x common factors =1 x 2 = 2
LCM(98,81,176) = ( 98 × 81 × 176 ) / 2
LCM(98,81,176) = 1397088 / 2
LCM(98,81,176) = 698544
Lets's calculate GCF of 86,72,79
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 698544/1
Therefore the LCM of Fractions 98/86,81/72,176/79 is 698544
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Greatest Common Factor
We found the factors 86,72,79 . The biggest common factor number is the GCF number.
So the greatest common factor 86,72,79 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 98/86, 81/72, 176/79?
Answer: LCM of Numerators as per given numbers 98/86, 81/72, 176/79 is
LCM of Numerators i.e. for 98,81,176 is 698544
GCF of denominators i.e. for 86,72,79 is 1.
Thus, LCM of Fractions is 698544.Finally, LCM of Fractions for 98/86, 81/72, 176/79 is 698544.