Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 346/98, 297/40, 869/72 quickly i.e. 4059099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 346/98, 297/40, 869/72 is 4059099.
LCM(346/98, 297/40, 869/72) = 4059099
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 346/98,297/40,869/72
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 346,297,869
Least Common Multiple of Numerators i.e. LCM of 346,297,869 is 8118198.
GCF of Denominators means GCF of 98,40,72 as per the given fractions.
GCF of 98,40,72 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 346,297,869
11 | 346, 297, 869 |
346, 27, 79 |
∴ So the LCM of the given numbers is 11 x 346 x 27 x 79 = 8118198
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 346,297,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,297,869) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(346,297,869) x common factors =1 x 11 = 11
LCM(346,297,869) = ( 346 × 297 × 869 ) / 11
LCM(346,297,869) = 89300178 / 11
LCM(346,297,869) = 8118198
Lets's calculate GCF of 98,40,72
2 | 98, 40, 72 |
49, 20, 36 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8118198/2
Therefore the LCM of Fractions 346/98,297/40,869/72 is 4059099
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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
Greatest Common Factor
We found the factors 98,40,72 . The biggest common factor number is the GCF number.
So the greatest common factor 98,40,72 is 2.
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 346/98, 297/40, 869/72?
Answer: LCM of Numerators as per given numbers 346/98, 297/40, 869/72 is
LCM of Numerators i.e. for 346,297,869 is 8118198
GCF of denominators i.e. for 98,40,72 is 2.
Thus, LCM of Fractions is 4059099.Finally, LCM of Fractions for 346/98, 297/40, 869/72 is 4059099.