Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/72, 480/94, 630/910 quickly i.e. 5040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/72, 480/94, 630/910 is 5040.
LCM(40/72, 480/94, 630/910) = 5040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/72,480/94,630/910
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 40,480,630
Least Common Multiple of Numerators i.e. LCM of 40,480,630 is 10080.
GCF of Denominators means GCF of 72,94,910 as per the given fractions.
GCF of 72,94,910 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,480,630
2 | 40, 480, 630 |
2 | 20, 240, 315 |
2 | 10, 120, 315 |
3 | 5, 60, 315 |
5 | 5, 20, 105 |
1, 4, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 4 x 21 = 10080
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 40,480,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,480,630) = 10
common factors(in case of two or more numbers have common factors) = 120
GCF(40,480,630) x common factors =10 x 120 = 1200
LCM(40,480,630) = ( 40 × 480 × 630 ) / 1200
LCM(40,480,630) = 12096000 / 1200
LCM(40,480,630) = 10080
Lets's calculate GCF of 72,94,910
2 | 72, 94, 910 |
36, 47, 455 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10080/2
Therefore the LCM of Fractions 40/72,480/94,630/910 is 5040
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 72,94,910 . The biggest common factor number is the GCF number.
So the greatest common factor 72,94,910 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 40/72, 480/94, 630/910?
Answer: LCM of Numerators as per given numbers 40/72, 480/94, 630/910 is
LCM of Numerators i.e. for 40,480,630 is 10080
GCF of denominators i.e. for 72,94,910 is 2.
Thus, LCM of Fractions is 5040.Finally, LCM of Fractions for 40/72, 480/94, 630/910 is 5040.