Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 642/550, 5429/928 quickly i.e. 1742709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 642/550, 5429/928 is 1742709.
LCM(642/550, 5429/928) = 1742709
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 642/550,5429/928
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 642,5429
Least Common Multiple of Numerators i.e. LCM of 642,5429 is 3485418.
GCF of Denominators means GCF of 550,928 as per the given fractions.
GCF of 550,928 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 642,5429
Given numbers has no common factors except 1. So, there LCM is their product i.e 3485418
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 642,5429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,5429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,5429) x common factors =1 x 1 = 1
LCM(642,5429) = ( 642 × 5429 ) / 1
LCM(642,5429) = 3485418 / 1
LCM(642,5429) = 3485418
Lets's calculate GCF of 550,928
2 | 550, 928 |
275, 464 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3485418/2
Therefore the LCM of Fractions 642/550,5429/928 is 1742709
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 550,928 . The biggest common factor number is the GCF number.
So the greatest common factor 550,928 is 2.
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 642/550, 5429/928?
Answer: LCM of Numerators as per given numbers 642/550, 5429/928 is
LCM of Numerators i.e. for 642,5429 is 3485418
GCF of denominators i.e. for 550,928 is 2.
Thus, LCM of Fractions is 1742709.Finally, LCM of Fractions for 642/550, 5429/928 is 1742709.