Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 648/843, 368/535, 505/490 quickly i.e. 15053040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 648/843, 368/535, 505/490 is 15053040.
LCM(648/843, 368/535, 505/490) = 15053040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 648/843,368/535,505/490
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 648,368,505
Least Common Multiple of Numerators i.e. LCM of 648,368,505 is 15053040.
GCF of Denominators means GCF of 843,535,490 as per the given fractions.
GCF of 843,535,490 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 648,368,505
2 | 648, 368, 505 |
2 | 324, 184, 505 |
2 | 162, 92, 505 |
81, 46, 505 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 46 x 505 = 15053040
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 648,368,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,368,505) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(648,368,505) x common factors =1 x 8 = 8
LCM(648,368,505) = ( 648 × 368 × 505 ) / 8
LCM(648,368,505) = 120424320 / 8
LCM(648,368,505) = 15053040
Lets's calculate GCF of 843,535,490
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15053040/1
Therefore the LCM of Fractions 648/843,368/535,505/490 is 15053040
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 843,535,490 . The biggest common factor number is the GCF number.
So the greatest common factor 843,535,490 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 648/843, 368/535, 505/490?
Answer: LCM of Numerators as per given numbers 648/843, 368/535, 505/490 is
LCM of Numerators i.e. for 648,368,505 is 15053040
GCF of denominators i.e. for 843,535,490 is 1.
Thus, LCM of Fractions is 15053040.Finally, LCM of Fractions for 648/843, 368/535, 505/490 is 15053040.