Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 802/88, 186/68, 109/731 quickly i.e. 8129874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 802/88, 186/68, 109/731 is 8129874.
LCM(802/88, 186/68, 109/731) = 8129874
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 802/88,186/68,109/731
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 802,186,109
Least Common Multiple of Numerators i.e. LCM of 802,186,109 is 8129874.
GCF of Denominators means GCF of 88,68,731 as per the given fractions.
GCF of 88,68,731 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 802,186,109
2 | 802, 186, 109 |
401, 93, 109 |
∴ So the LCM of the given numbers is 2 x 401 x 93 x 109 = 8129874
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 802,186,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,186,109) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(802,186,109) x common factors =1 x 2 = 2
LCM(802,186,109) = ( 802 × 186 × 109 ) / 2
LCM(802,186,109) = 16259748 / 2
LCM(802,186,109) = 8129874
Lets's calculate GCF of 88,68,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8129874/1
Therefore the LCM of Fractions 802/88,186/68,109/731 is 8129874
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Greatest Common Factor
We found the factors 88,68,731 . The biggest common factor number is the GCF number.
So the greatest common factor 88,68,731 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 802/88, 186/68, 109/731?
Answer: LCM of Numerators as per given numbers 802/88, 186/68, 109/731 is
LCM of Numerators i.e. for 802,186,109 is 8129874
GCF of denominators i.e. for 88,68,731 is 1.
Thus, LCM of Fractions is 8129874.Finally, LCM of Fractions for 802/88, 186/68, 109/731 is 8129874.