Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4706/974, 8775/820 quickly i.e. 1588275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4706/974, 8775/820 is 1588275.
LCM(4706/974, 8775/820) = 1588275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4706/974,8775/820
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 4706,8775
Least Common Multiple of Numerators i.e. LCM of 4706,8775 is 3176550.
GCF of Denominators means GCF of 974,820 as per the given fractions.
GCF of 974,820 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4706,8775
13 | 4706, 8775 |
362, 675 |
∴ So the LCM of the given numbers is 13 x 362 x 675 = 3176550
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 4706,8775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4706,8775) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(4706,8775) x common factors =13 x 1 = 13
LCM(4706,8775) = ( 4706 × 8775 ) / 13
LCM(4706,8775) = 41295150 / 13
LCM(4706,8775) = 3176550
Lets's calculate GCF of 974,820
2 | 974, 820 |
487, 410 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3176550/2
Therefore the LCM of Fractions 4706/974,8775/820 is 1588275
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 974,820 . The biggest common factor number is the GCF number.
So the greatest common factor 974,820 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 4706/974, 8775/820?
Answer: LCM of Numerators as per given numbers 4706/974, 8775/820 is
LCM of Numerators i.e. for 4706,8775 is 3176550
GCF of denominators i.e. for 974,820 is 2.
Thus, LCM of Fractions is 1588275.Finally, LCM of Fractions for 4706/974, 8775/820 is 1588275.