Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2164/72, 6084/764 quickly i.e. 822861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2164/72, 6084/764 is 822861.
LCM(2164/72, 6084/764) = 822861
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2164/72,6084/764
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 2164,6084
Least Common Multiple of Numerators i.e. LCM of 2164,6084 is 3291444.
GCF of Denominators means GCF of 72,764 as per the given fractions.
GCF of 72,764 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2164,6084
2 | 2164, 6084 |
2 | 1082, 3042 |
541, 1521 |
∴ So the LCM of the given numbers is 2 x 2 x 541 x 1521 = 3291444
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 2164,6084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2164,6084) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2164,6084) x common factors =4 x 1 = 4
LCM(2164,6084) = ( 2164 × 6084 ) / 4
LCM(2164,6084) = 13165776 / 4
LCM(2164,6084) = 3291444
Lets's calculate GCF of 72,764
2 | 72, 764 |
2 | 36, 382 |
18, 191 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3291444/4
Therefore the LCM of Fractions 2164/72,6084/764 is 822861
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 72,764 . The biggest common factor number is the GCF number.
So the greatest common factor 72,764 is 4.
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 2164/72, 6084/764?
Answer: LCM of Numerators as per given numbers 2164/72, 6084/764 is
LCM of Numerators i.e. for 2164,6084 is 3291444
GCF of denominators i.e. for 72,764 is 4.
Thus, LCM of Fractions is 822861.Finally, LCM of Fractions for 2164/72, 6084/764 is 822861.