Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 984/84, 638/43, 528/924 quickly i.e. 627792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 984/84, 638/43, 528/924 is 627792.
LCM(984/84, 638/43, 528/924) = 627792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 984/84,638/43,528/924
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 984,638,528
Least Common Multiple of Numerators i.e. LCM of 984,638,528 is 627792.
GCF of Denominators means GCF of 84,43,924 as per the given fractions.
GCF of 84,43,924 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 984,638,528
2 | 984, 638, 528 |
2 | 492, 319, 264 |
2 | 246, 319, 132 |
3 | 123, 319, 66 |
11 | 41, 319, 22 |
41, 29, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 41 x 29 x 2 = 627792
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 984,638,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,638,528) = 2
common factors(in case of two or more numbers have common factors) = 264
GCF(984,638,528) x common factors =2 x 264 = 528
LCM(984,638,528) = ( 984 × 638 × 528 ) / 528
LCM(984,638,528) = 331474176 / 528
LCM(984,638,528) = 627792
Lets's calculate GCF of 84,43,924
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 627792/1
Therefore the LCM of Fractions 984/84,638/43,528/924 is 627792
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 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 84,43,924 . The biggest common factor number is the GCF number.
So the greatest common factor 84,43,924 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 984/84, 638/43, 528/924?
Answer: LCM of Numerators as per given numbers 984/84, 638/43, 528/924 is
LCM of Numerators i.e. for 984,638,528 is 627792
GCF of denominators i.e. for 84,43,924 is 1.
Thus, LCM of Fractions is 627792.Finally, LCM of Fractions for 984/84, 638/43, 528/924 is 627792.