Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 707/23, 505/88, 959/994 quickly i.e. 484295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 707/23, 505/88, 959/994 is 484295.
LCM(707/23, 505/88, 959/994) = 484295
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 707/23,505/88,959/994
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 707,505,959
Least Common Multiple of Numerators i.e. LCM of 707,505,959 is 484295.
GCF of Denominators means GCF of 23,88,994 as per the given fractions.
GCF of 23,88,994 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 707,505,959
7 | 707, 505, 959 |
101 | 101, 505, 137 |
1, 5, 137 |
∴ So the LCM of the given numbers is 7 x 101 x 1 x 5 x 137 = 484295
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 707,505,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,505,959) = 1
common factors(in case of two or more numbers have common factors) = 707
GCF(707,505,959) x common factors =1 x 707 = 707
LCM(707,505,959) = ( 707 × 505 × 959 ) / 707
LCM(707,505,959) = 342396565 / 707
LCM(707,505,959) = 484295
Lets's calculate GCF of 23,88,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484295/1
Therefore the LCM of Fractions 707/23,505/88,959/994 is 484295
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
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 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 23,88,994 . The biggest common factor number is the GCF number.
So the greatest common factor 23,88,994 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 707/23, 505/88, 959/994?
Answer: LCM of Numerators as per given numbers 707/23, 505/88, 959/994 is
LCM of Numerators i.e. for 707,505,959 is 484295
GCF of denominators i.e. for 23,88,994 is 1.
Thus, LCM of Fractions is 484295.Finally, LCM of Fractions for 707/23, 505/88, 959/994 is 484295.