Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/451, 77/480, 918/630 quickly i.e. 918918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/451, 77/480, 918/630 is 918918.
LCM(26/451, 77/480, 918/630) = 918918
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/451,77/480,918/630
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 26,77,918
Least Common Multiple of Numerators i.e. LCM of 26,77,918 is 918918.
GCF of Denominators means GCF of 451,480,630 as per the given fractions.
GCF of 451,480,630 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,77,918
2 | 26, 77, 918 |
13, 77, 459 |
∴ So the LCM of the given numbers is 2 x 13 x 77 x 459 = 918918
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 26,77,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,77,918) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,77,918) x common factors =1 x 2 = 2
LCM(26,77,918) = ( 26 × 77 × 918 ) / 2
LCM(26,77,918) = 1837836 / 2
LCM(26,77,918) = 918918
Lets's calculate GCF of 451,480,630
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 918918/1
Therefore the LCM of Fractions 26/451,77/480,918/630 is 918918
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
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 451,480,630 . The biggest common factor number is the GCF number.
So the greatest common factor 451,480,630 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 26/451, 77/480, 918/630?
Answer: LCM of Numerators as per given numbers 26/451, 77/480, 918/630 is
LCM of Numerators i.e. for 26,77,918 is 918918
GCF of denominators i.e. for 451,480,630 is 1.
Thus, LCM of Fractions is 918918.Finally, LCM of Fractions for 26/451, 77/480, 918/630 is 918918.