Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/364, 894/640, 396/257 quickly i.e. 295020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/364, 894/640, 396/257 is 295020.
LCM(20/364, 894/640, 396/257) = 295020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/364,894/640,396/257
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 20,894,396
Least Common Multiple of Numerators i.e. LCM of 20,894,396 is 295020.
GCF of Denominators means GCF of 364,640,257 as per the given fractions.
GCF of 364,640,257 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,894,396
2 | 20, 894, 396 |
2 | 10, 447, 198 |
3 | 5, 447, 99 |
5, 149, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 149 x 33 = 295020
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 20,894,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,894,396) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(20,894,396) x common factors =2 x 12 = 24
LCM(20,894,396) = ( 20 × 894 × 396 ) / 24
LCM(20,894,396) = 7080480 / 24
LCM(20,894,396) = 295020
Lets's calculate GCF of 364,640,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 295020/1
Therefore the LCM of Fractions 20/364,894/640,396/257 is 295020
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Greatest Common Factor
We found the factors 364,640,257 . The biggest common factor number is the GCF number.
So the greatest common factor 364,640,257 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 20/364, 894/640, 396/257?
Answer: LCM of Numerators as per given numbers 20/364, 894/640, 396/257 is
LCM of Numerators i.e. for 20,894,396 is 295020
GCF of denominators i.e. for 364,640,257 is 1.
Thus, LCM of Fractions is 295020.Finally, LCM of Fractions for 20/364, 894/640, 396/257 is 295020.