Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/764, 352/215, 780/486 quickly i.e. 68640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/764, 352/215, 780/486 is 68640.
LCM(96/764, 352/215, 780/486) = 68640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/764,352/215,780/486
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 96,352,780
Least Common Multiple of Numerators i.e. LCM of 96,352,780 is 68640.
GCF of Denominators means GCF of 764,215,486 as per the given fractions.
GCF of 764,215,486 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,352,780
2 | 96, 352, 780 |
2 | 48, 176, 390 |
2 | 24, 88, 195 |
2 | 12, 44, 195 |
2 | 6, 22, 195 |
3 | 3, 11, 195 |
1, 11, 65 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 11 x 65 = 68640
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 96,352,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,352,780) = 4
common factors(in case of two or more numbers have common factors) = 96
GCF(96,352,780) x common factors =4 x 96 = 384
LCM(96,352,780) = ( 96 × 352 × 780 ) / 384
LCM(96,352,780) = 26357760 / 384
LCM(96,352,780) = 68640
Lets's calculate GCF of 764,215,486
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68640/1
Therefore the LCM of Fractions 96/764,352/215,780/486 is 68640
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 764,215,486 . The biggest common factor number is the GCF number.
So the greatest common factor 764,215,486 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 96/764, 352/215, 780/486?
Answer: LCM of Numerators as per given numbers 96/764, 352/215, 780/486 is
LCM of Numerators i.e. for 96,352,780 is 68640
GCF of denominators i.e. for 764,215,486 is 1.
Thus, LCM of Fractions is 68640.Finally, LCM of Fractions for 96/764, 352/215, 780/486 is 68640.