Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 455/159, 700/177, 734/862 quickly i.e. 3339700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 455/159, 700/177, 734/862 is 3339700.
LCM(455/159, 700/177, 734/862) = 3339700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 455/159,700/177,734/862
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 455,700,734
Least Common Multiple of Numerators i.e. LCM of 455,700,734 is 3339700.
GCF of Denominators means GCF of 159,177,862 as per the given fractions.
GCF of 159,177,862 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 455,700,734
2 | 455, 700, 734 |
5 | 455, 350, 367 |
7 | 91, 70, 367 |
13, 10, 367 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 10 x 367 = 3339700
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 455,700,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(455,700,734) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(455,700,734) x common factors =1 x 70 = 70
LCM(455,700,734) = ( 455 × 700 × 734 ) / 70
LCM(455,700,734) = 233779000 / 70
LCM(455,700,734) = 3339700
Lets's calculate GCF of 159,177,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3339700/1
Therefore the LCM of Fractions 455/159,700/177,734/862 is 3339700
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 159,177,862 . The biggest common factor number is the GCF number.
So the greatest common factor 159,177,862 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 455/159, 700/177, 734/862?
Answer: LCM of Numerators as per given numbers 455/159, 700/177, 734/862 is
LCM of Numerators i.e. for 455,700,734 is 3339700
GCF of denominators i.e. for 159,177,862 is 1.
Thus, LCM of Fractions is 3339700.Finally, LCM of Fractions for 455/159, 700/177, 734/862 is 3339700.