Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/812, 81/548, 628/956 quickly i.e. 597699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/812, 81/548, 628/956 is 597699.
LCM(47/812, 81/548, 628/956) = 597699
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/812,81/548,628/956
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 47,81,628
Least Common Multiple of Numerators i.e. LCM of 47,81,628 is 2390796.
GCF of Denominators means GCF of 812,548,956 as per the given fractions.
GCF of 812,548,956 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,81,628
Given numbers has no common factors except 1. So, there LCM is their product i.e 2390796
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 47,81,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,81,628) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,81,628) x common factors =1 x 1 = 1
LCM(47,81,628) = ( 47 × 81 × 628 ) / 1
LCM(47,81,628) = 2390796 / 1
LCM(47,81,628) = 2390796
Lets's calculate GCF of 812,548,956
2 | 812, 548, 956 |
2 | 406, 274, 478 |
203, 137, 239 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2390796/4
Therefore the LCM of Fractions 47/812,81/548,628/956 is 597699
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 548
List of positive integer factors of 548 that divides 548 without a remainder.
1,2,4,137,274,548
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 812,548,956 . The biggest common factor number is the GCF number.
So the greatest common factor 812,548,956 is 4.
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 47/812, 81/548, 628/956?
Answer: LCM of Numerators as per given numbers 47/812, 81/548, 628/956 is
LCM of Numerators i.e. for 47,81,628 is 2390796
GCF of denominators i.e. for 812,548,956 is 4.
Thus, LCM of Fractions is 597699.Finally, LCM of Fractions for 47/812, 81/548, 628/956 is 597699.