Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/674, 4781/5680 quickly i.e. 138649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/674, 4781/5680 is 138649.
LCM(58/674, 4781/5680) = 138649
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/674,4781/5680
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 58,4781
Least Common Multiple of Numerators i.e. LCM of 58,4781 is 277298.
GCF of Denominators means GCF of 674,5680 as per the given fractions.
GCF of 674,5680 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,4781
Given numbers has no common factors except 1. So, there LCM is their product i.e 277298
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 58,4781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,4781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,4781) x common factors =1 x 1 = 1
LCM(58,4781) = ( 58 × 4781 ) / 1
LCM(58,4781) = 277298 / 1
LCM(58,4781) = 277298
Lets's calculate GCF of 674,5680
2 | 674, 5680 |
337, 2840 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277298/2
Therefore the LCM of Fractions 58/674,4781/5680 is 138649
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Factors of 5680
List of positive integer factors of 5680 that divides 5680 without a remainder.
1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680
Greatest Common Factor
We found the factors 674,5680 . The biggest common factor number is the GCF number.
So the greatest common factor 674,5680 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 58/674, 4781/5680?
Answer: LCM of Numerators as per given numbers 58/674, 4781/5680 is
LCM of Numerators i.e. for 58,4781 is 277298
GCF of denominators i.e. for 674,5680 is 2.
Thus, LCM of Fractions is 138649.Finally, LCM of Fractions for 58/674, 4781/5680 is 138649.