Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/938, 641/210, 397/287 quickly i.e. 166682435/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/938, 641/210, 397/287 is 166682435/7.
LCM(655/938, 641/210, 397/287) = 166682435/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/938,641/210,397/287
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 655,641,397
Least Common Multiple of Numerators i.e. LCM of 655,641,397 is 166682435.
GCF of Denominators means GCF of 938,210,287 as per the given fractions.
GCF of 938,210,287 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,641,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 166682435
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 655,641,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,641,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,641,397) x common factors =1 x 1 = 1
LCM(655,641,397) = ( 655 × 641 × 397 ) / 1
LCM(655,641,397) = 166682435 / 1
LCM(655,641,397) = 166682435
Lets's calculate GCF of 938,210,287
7 | 938, 210, 287 |
134, 30, 41 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166682435/7
Therefore the LCM of Fractions 655/938,641/210,397/287 is 166682435/7
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Greatest Common Factor
We found the factors 938,210,287 . The biggest common factor number is the GCF number.
So the greatest common factor 938,210,287 is 7.
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 655/938, 641/210, 397/287?
Answer: LCM of Numerators as per given numbers 655/938, 641/210, 397/287 is
LCM of Numerators i.e. for 655,641,397 is 166682435
GCF of denominators i.e. for 938,210,287 is 7.
Thus, LCM of Fractions is 166682435/7.Finally, LCM of Fractions for 655/938, 641/210, 397/287 is 166682435/7.