Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/740, 34/663, 779/799 quickly i.e. 79458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/740, 34/663, 779/799 is 79458.
LCM(57/740, 34/663, 779/799) = 79458
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/740,34/663,779/799
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 57,34,779
Least Common Multiple of Numerators i.e. LCM of 57,34,779 is 79458.
GCF of Denominators means GCF of 740,663,799 as per the given fractions.
GCF of 740,663,799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,34,779
19 | 57, 34, 779 |
3, 34, 41 |
∴ So the LCM of the given numbers is 19 x 3 x 34 x 41 = 79458
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 57,34,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,34,779) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(57,34,779) x common factors =1 x 19 = 19
LCM(57,34,779) = ( 57 × 34 × 779 ) / 19
LCM(57,34,779) = 1509702 / 19
LCM(57,34,779) = 79458
Lets's calculate GCF of 740,663,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79458/1
Therefore the LCM of Fractions 57/740,34/663,779/799 is 79458
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 740,663,799 . The biggest common factor number is the GCF number.
So the greatest common factor 740,663,799 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 57/740, 34/663, 779/799?
Answer: LCM of Numerators as per given numbers 57/740, 34/663, 779/799 is
LCM of Numerators i.e. for 57,34,779 is 79458
GCF of denominators i.e. for 740,663,799 is 1.
Thus, LCM of Fractions is 79458.Finally, LCM of Fractions for 57/740, 34/663, 779/799 is 79458.