Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/634, 34/795, 641/777 quickly i.e. 501262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/634, 34/795, 641/777 is 501262.
LCM(46/634, 34/795, 641/777) = 501262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/634,34/795,641/777
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 46,34,641
Least Common Multiple of Numerators i.e. LCM of 46,34,641 is 501262.
GCF of Denominators means GCF of 634,795,777 as per the given fractions.
GCF of 634,795,777 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,34,641
2 | 46, 34, 641 |
23, 17, 641 |
∴ So the LCM of the given numbers is 2 x 23 x 17 x 641 = 501262
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 46,34,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,34,641) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,34,641) x common factors =1 x 2 = 2
LCM(46,34,641) = ( 46 × 34 × 641 ) / 2
LCM(46,34,641) = 1002524 / 2
LCM(46,34,641) = 501262
Lets's calculate GCF of 634,795,777
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501262/1
Therefore the LCM of Fractions 46/634,34/795,641/777 is 501262
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Greatest Common Factor
We found the factors 634,795,777 . The biggest common factor number is the GCF number.
So the greatest common factor 634,795,777 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 46/634, 34/795, 641/777?
Answer: LCM of Numerators as per given numbers 46/634, 34/795, 641/777 is
LCM of Numerators i.e. for 46,34,641 is 501262
GCF of denominators i.e. for 634,795,777 is 1.
Thus, LCM of Fractions is 501262.Finally, LCM of Fractions for 46/634, 34/795, 641/777 is 501262.