Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 930/87, 128/6441 quickly i.e. 19840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 930/87, 128/6441 is 19840.
LCM(930/87, 128/6441) = 19840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 930/87,128/6441
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 930,128
Least Common Multiple of Numerators i.e. LCM of 930,128 is 59520.
GCF of Denominators means GCF of 87,6441 as per the given fractions.
GCF of 87,6441 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 930,128
2 | 930, 128 |
465, 64 |
∴ So the LCM of the given numbers is 2 x 465 x 64 = 59520
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 930,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(930,128) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(930,128) x common factors =2 x 1 = 2
LCM(930,128) = ( 930 × 128 ) / 2
LCM(930,128) = 119040 / 2
LCM(930,128) = 59520
Lets's calculate GCF of 87,6441
3 | 87, 6441 |
29, 2147 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59520/3
Therefore the LCM of Fractions 930/87,128/6441 is 19840
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 6441
List of positive integer factors of 6441 that divides 6441 without a remainder.
1,3,19,57,113,339,2147,6441
Greatest Common Factor
We found the factors 87,6441 . The biggest common factor number is the GCF number.
So the greatest common factor 87,6441 is 3.
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 930/87, 128/6441?
Answer: LCM of Numerators as per given numbers 930/87, 128/6441 is
LCM of Numerators i.e. for 930,128 is 59520
GCF of denominators i.e. for 87,6441 is 3.
Thus, LCM of Fractions is 19840.Finally, LCM of Fractions for 930/87, 128/6441 is 19840.