Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/85, 72/710, 621/638 quickly i.e. 4968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/85, 72/710, 621/638 is 4968.
LCM(46/85, 72/710, 621/638) = 4968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/85,72/710,621/638
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 46,72,621
Least Common Multiple of Numerators i.e. LCM of 46,72,621 is 4968.
GCF of Denominators means GCF of 85,710,638 as per the given fractions.
GCF of 85,710,638 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,72,621
2 | 46, 72, 621 |
3 | 23, 36, 621 |
3 | 23, 12, 207 |
23 | 23, 4, 69 |
1, 4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 1 x 4 x 3 = 4968
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 46,72,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,72,621) = 1
common factors(in case of two or more numbers have common factors) = 414
GCF(46,72,621) x common factors =1 x 414 = 414
LCM(46,72,621) = ( 46 × 72 × 621 ) / 414
LCM(46,72,621) = 2056752 / 414
LCM(46,72,621) = 4968
Lets's calculate GCF of 85,710,638
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4968/1
Therefore the LCM of Fractions 46/85,72/710,621/638 is 4968
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 85,710,638 . The biggest common factor number is the GCF number.
So the greatest common factor 85,710,638 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 46/85, 72/710, 621/638?
Answer: LCM of Numerators as per given numbers 46/85, 72/710, 621/638 is
LCM of Numerators i.e. for 46,72,621 is 4968
GCF of denominators i.e. for 85,710,638 is 1.
Thus, LCM of Fractions is 4968.Finally, LCM of Fractions for 46/85, 72/710, 621/638 is 4968.