Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 640/84, 744/76, 280/529 quickly i.e. 416640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 640/84, 744/76, 280/529 is 416640.
LCM(640/84, 744/76, 280/529) = 416640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 640/84,744/76,280/529
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 640,744,280
Least Common Multiple of Numerators i.e. LCM of 640,744,280 is 416640.
GCF of Denominators means GCF of 84,76,529 as per the given fractions.
GCF of 84,76,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 640,744,280
2 | 640, 744, 280 |
2 | 320, 372, 140 |
2 | 160, 186, 70 |
5 | 80, 93, 35 |
16, 93, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 16 x 93 x 7 = 416640
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 640,744,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,744,280) = 8
common factors(in case of two or more numbers have common factors) = 40
GCF(640,744,280) x common factors =8 x 40 = 320
LCM(640,744,280) = ( 640 × 744 × 280 ) / 320
LCM(640,744,280) = 133324800 / 320
LCM(640,744,280) = 416640
Lets's calculate GCF of 84,76,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416640/1
Therefore the LCM of Fractions 640/84,744/76,280/529 is 416640
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 84,76,529 . The biggest common factor number is the GCF number.
So the greatest common factor 84,76,529 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 640/84, 744/76, 280/529?
Answer: LCM of Numerators as per given numbers 640/84, 744/76, 280/529 is
LCM of Numerators i.e. for 640,744,280 is 416640
GCF of denominators i.e. for 84,76,529 is 1.
Thus, LCM of Fractions is 416640.Finally, LCM of Fractions for 640/84, 744/76, 280/529 is 416640.