Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/628, 85/446, 830/686 quickly i.e. 148155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/628, 85/446, 830/686 is 148155.
LCM(42/628, 85/446, 830/686) = 148155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/628,85/446,830/686
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 42,85,830
Least Common Multiple of Numerators i.e. LCM of 42,85,830 is 296310.
GCF of Denominators means GCF of 628,446,686 as per the given fractions.
GCF of 628,446,686 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,85,830
2 | 42, 85, 830 |
5 | 21, 85, 415 |
21, 17, 83 |
∴ So the LCM of the given numbers is 2 x 5 x 21 x 17 x 83 = 296310
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 42,85,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,85,830) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(42,85,830) x common factors =1 x 10 = 10
LCM(42,85,830) = ( 42 × 85 × 830 ) / 10
LCM(42,85,830) = 2963100 / 10
LCM(42,85,830) = 296310
Lets's calculate GCF of 628,446,686
2 | 628, 446, 686 |
314, 223, 343 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296310/2
Therefore the LCM of Fractions 42/628,85/446,830/686 is 148155
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 686
List of positive integer factors of 686 that divides 686 without a remainder.
1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 628,446,686 . The biggest common factor number is the GCF number.
So the greatest common factor 628,446,686 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 42/628, 85/446, 830/686?
Answer: LCM of Numerators as per given numbers 42/628, 85/446, 830/686 is
LCM of Numerators i.e. for 42,85,830 is 296310
GCF of denominators i.e. for 628,446,686 is 2.
Thus, LCM of Fractions is 148155.Finally, LCM of Fractions for 42/628, 85/446, 830/686 is 148155.