Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/111, 58/436, 805/424 quickly i.e. 140070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/111, 58/436, 805/424 is 140070.
LCM(69/111, 58/436, 805/424) = 140070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/111,58/436,805/424
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 69,58,805
Least Common Multiple of Numerators i.e. LCM of 69,58,805 is 140070.
GCF of Denominators means GCF of 111,436,424 as per the given fractions.
GCF of 111,436,424 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,58,805
23 | 69, 58, 805 |
3, 58, 35 |
∴ So the LCM of the given numbers is 23 x 3 x 58 x 35 = 140070
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 69,58,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,58,805) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(69,58,805) x common factors =1 x 23 = 23
LCM(69,58,805) = ( 69 × 58 × 805 ) / 23
LCM(69,58,805) = 3221610 / 23
LCM(69,58,805) = 140070
Lets's calculate GCF of 111,436,424
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140070/1
Therefore the LCM of Fractions 69/111,58/436,805/424 is 140070
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 111,436,424 . The biggest common factor number is the GCF number.
So the greatest common factor 111,436,424 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 69/111, 58/436, 805/424?
Answer: LCM of Numerators as per given numbers 69/111, 58/436, 805/424 is
LCM of Numerators i.e. for 69,58,805 is 140070
GCF of denominators i.e. for 111,436,424 is 1.
Thus, LCM of Fractions is 140070.Finally, LCM of Fractions for 69/111, 58/436, 805/424 is 140070.