Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/94, 697/72, 956/630 quickly i.e. 333166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/94, 697/72, 956/630 is 333166.
LCM(478/94, 697/72, 956/630) = 333166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/94,697/72,956/630
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 478,697,956
Least Common Multiple of Numerators i.e. LCM of 478,697,956 is 666332.
GCF of Denominators means GCF of 94,72,630 as per the given fractions.
GCF of 94,72,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,697,956
2 | 478, 697, 956 |
239 | 239, 697, 478 |
1, 697, 2 |
∴ So the LCM of the given numbers is 2 x 239 x 1 x 697 x 2 = 666332
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 478,697,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,697,956) = 1
common factors(in case of two or more numbers have common factors) = 478
GCF(478,697,956) x common factors =1 x 478 = 478
LCM(478,697,956) = ( 478 × 697 × 956 ) / 478
LCM(478,697,956) = 318506696 / 478
LCM(478,697,956) = 666332
Lets's calculate GCF of 94,72,630
2 | 94, 72, 630 |
47, 36, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666332/2
Therefore the LCM of Fractions 478/94,697/72,956/630 is 333166
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
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 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 94,72,630 . The biggest common factor number is the GCF number.
So the greatest common factor 94,72,630 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 478/94, 697/72, 956/630?
Answer: LCM of Numerators as per given numbers 478/94, 697/72, 956/630 is
LCM of Numerators i.e. for 478,697,956 is 666332
GCF of denominators i.e. for 94,72,630 is 2.
Thus, LCM of Fractions is 333166.Finally, LCM of Fractions for 478/94, 697/72, 956/630 is 333166.