Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6316/28, 7148/640 quickly i.e. 2821673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6316/28, 7148/640 is 2821673.
LCM(6316/28, 7148/640) = 2821673
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6316/28,7148/640
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 6316,7148
Least Common Multiple of Numerators i.e. LCM of 6316,7148 is 11286692.
GCF of Denominators means GCF of 28,640 as per the given fractions.
GCF of 28,640 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6316,7148
2 | 6316, 7148 |
2 | 3158, 3574 |
1579, 1787 |
∴ So the LCM of the given numbers is 2 x 2 x 1579 x 1787 = 11286692
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 6316,7148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6316,7148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6316,7148) x common factors =4 x 1 = 4
LCM(6316,7148) = ( 6316 × 7148 ) / 4
LCM(6316,7148) = 45146768 / 4
LCM(6316,7148) = 11286692
Lets's calculate GCF of 28,640
2 | 28, 640 |
2 | 14, 320 |
7, 160 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11286692/4
Therefore the LCM of Fractions 6316/28,7148/640 is 2821673
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
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
Greatest Common Factor
We found the factors 28,640 . The biggest common factor number is the GCF number.
So the greatest common factor 28,640 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 6316/28, 7148/640?
Answer: LCM of Numerators as per given numbers 6316/28, 7148/640 is
LCM of Numerators i.e. for 6316,7148 is 11286692
GCF of denominators i.e. for 28,640 is 4.
Thus, LCM of Fractions is 2821673.Finally, LCM of Fractions for 6316/28, 7148/640 is 2821673.