Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6058/194, 6735/3480 quickly i.e. 20400315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6058/194, 6735/3480 is 20400315.
LCM(6058/194, 6735/3480) = 20400315
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6058/194,6735/3480
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 6058,6735
Least Common Multiple of Numerators i.e. LCM of 6058,6735 is 40800630.
GCF of Denominators means GCF of 194,3480 as per the given fractions.
GCF of 194,3480 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6058,6735
Given numbers has no common factors except 1. So, there LCM is their product i.e 40800630
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 6058,6735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6058,6735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6058,6735) x common factors =1 x 1 = 1
LCM(6058,6735) = ( 6058 × 6735 ) / 1
LCM(6058,6735) = 40800630 / 1
LCM(6058,6735) = 40800630
Lets's calculate GCF of 194,3480
2 | 194, 3480 |
97, 1740 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40800630/2
Therefore the LCM of Fractions 6058/194,6735/3480 is 20400315
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 3480
List of positive integer factors of 3480 that divides 3480 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480
Greatest Common Factor
We found the factors 194,3480 . The biggest common factor number is the GCF number.
So the greatest common factor 194,3480 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 6058/194, 6735/3480?
Answer: LCM of Numerators as per given numbers 6058/194, 6735/3480 is
LCM of Numerators i.e. for 6058,6735 is 40800630
GCF of denominators i.e. for 194,3480 is 2.
Thus, LCM of Fractions is 20400315.Finally, LCM of Fractions for 6058/194, 6735/3480 is 20400315.