Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/80, 51/38, 71/38, 49/630 quickly i.e. 5145441 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/80, 51/38, 71/38, 49/630 is 5145441.
LCM(58/80, 51/38, 71/38, 49/630) = 5145441
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/80,51/38,71/38,49/630
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 58,51,71,49
Least Common Multiple of Numerators i.e. LCM of 58,51,71,49 is 10290882.
GCF of Denominators means GCF of 80,38,38,630 as per the given fractions.
GCF of 80,38,38,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,51,71,49
Given numbers has no common factors except 1. So, there LCM is their product i.e 10290882
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 58,51,71,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,51,71,49) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,51,71,49) x common factors =1 x 1 = 1
LCM(58,51,71,49) = ( 58 × 51 × 71 × 49 ) / 1
LCM(58,51,71,49) = 10290882 / 1
LCM(58,51,71,49) = 10290882
Lets's calculate GCF of 80,38,38,630
2 | 80, 38, 38, 630 |
40, 19, 19, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10290882/2
Therefore the LCM of Fractions 58/80,51/38,71/38,49/630 is 5145441
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 80,38,38,630 . The biggest common factor number is the GCF number.
So the greatest common factor 80,38,38,630 is 2.
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 58/80, 51/38, 71/38, 49/630?
Answer: LCM of Numerators as per given numbers 58/80, 51/38, 71/38, 49/630 is
LCM of Numerators i.e. for 58,51,71,49 is 10290882
GCF of denominators i.e. for 80,38,38,630 is 2.
Thus, LCM of Fractions is 5145441.Finally, LCM of Fractions for 58/80, 51/38, 71/38, 49/630 is 5145441.