Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/22, 62/78, 57/51, 90/691 quickly i.e. 1537290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/22, 62/78, 57/51, 90/691 is 1537290.
LCM(58/22, 62/78, 57/51, 90/691) = 1537290
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/22,62/78,57/51,90/691
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 58,62,57,90
Least Common Multiple of Numerators i.e. LCM of 58,62,57,90 is 1537290.
GCF of Denominators means GCF of 22,78,51,691 as per the given fractions.
GCF of 22,78,51,691 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,62,57,90
2 | 58, 62, 57, 90 |
3 | 29, 31, 57, 45 |
29, 31, 19, 15 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 31 x 19 x 15 = 1537290
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 58,62,57,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,62,57,90) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(58,62,57,90) x common factors =1 x 12 = 12
LCM(58,62,57,90) = ( 58 × 62 × 57 × 90 ) / 12
LCM(58,62,57,90) = 18447480 / 12
LCM(58,62,57,90) = 1537290
Lets's calculate GCF of 22,78,51,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1537290/1
Therefore the LCM of Fractions 58/22,62/78,57/51,90/691 is 1537290
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 22,78,51,691 . The biggest common factor number is the GCF number.
So the greatest common factor 22,78,51,691 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 58/22, 62/78, 57/51, 90/691?
Answer: LCM of Numerators as per given numbers 58/22, 62/78, 57/51, 90/691 is
LCM of Numerators i.e. for 58,62,57,90 is 1537290
GCF of denominators i.e. for 22,78,51,691 is 1.
Thus, LCM of Fractions is 1537290.Finally, LCM of Fractions for 58/22, 62/78, 57/51, 90/691 is 1537290.