Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 643/790, 798/180, 506/953 quickly i.e. 129817842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 643/790, 798/180, 506/953 is 129817842.
LCM(643/790, 798/180, 506/953) = 129817842
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 643/790,798/180,506/953
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 643,798,506
Least Common Multiple of Numerators i.e. LCM of 643,798,506 is 129817842.
GCF of Denominators means GCF of 790,180,953 as per the given fractions.
GCF of 790,180,953 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 643,798,506
2 | 643, 798, 506 |
643, 399, 253 |
∴ So the LCM of the given numbers is 2 x 643 x 399 x 253 = 129817842
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 643,798,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(643,798,506) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(643,798,506) x common factors =1 x 2 = 2
LCM(643,798,506) = ( 643 × 798 × 506 ) / 2
LCM(643,798,506) = 259635684 / 2
LCM(643,798,506) = 129817842
Lets's calculate GCF of 790,180,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129817842/1
Therefore the LCM of Fractions 643/790,798/180,506/953 is 129817842
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Greatest Common Factor
We found the factors 790,180,953 . The biggest common factor number is the GCF number.
So the greatest common factor 790,180,953 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 643/790, 798/180, 506/953?
Answer: LCM of Numerators as per given numbers 643/790, 798/180, 506/953 is
LCM of Numerators i.e. for 643,798,506 is 129817842
GCF of denominators i.e. for 790,180,953 is 1.
Thus, LCM of Fractions is 129817842.Finally, LCM of Fractions for 643/790, 798/180, 506/953 is 129817842.