Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 820/674, 7151/4996 quickly i.e. 2931910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 820/674, 7151/4996 is 2931910.
LCM(820/674, 7151/4996) = 2931910
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 820/674,7151/4996
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 820,7151
Least Common Multiple of Numerators i.e. LCM of 820,7151 is 5863820.
GCF of Denominators means GCF of 674,4996 as per the given fractions.
GCF of 674,4996 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 820,7151
Given numbers has no common factors except 1. So, there LCM is their product i.e 5863820
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 820,7151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,7151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,7151) x common factors =1 x 1 = 1
LCM(820,7151) = ( 820 × 7151 ) / 1
LCM(820,7151) = 5863820 / 1
LCM(820,7151) = 5863820
Lets's calculate GCF of 674,4996
2 | 674, 4996 |
337, 2498 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5863820/2
Therefore the LCM of Fractions 820/674,7151/4996 is 2931910
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 4996
List of positive integer factors of 4996 that divides 4996 without a remainder.
1,2,4,1249,2498,4996
Greatest Common Factor
We found the factors 674,4996 . The biggest common factor number is the GCF number.
So the greatest common factor 674,4996 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 820/674, 7151/4996?
Answer: LCM of Numerators as per given numbers 820/674, 7151/4996 is
LCM of Numerators i.e. for 820,7151 is 5863820
GCF of denominators i.e. for 674,4996 is 2.
Thus, LCM of Fractions is 2931910.Finally, LCM of Fractions for 820/674, 7151/4996 is 2931910.