Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1785/124, 3347/930 quickly i.e. 5974395/62 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1785/124, 3347/930 is 5974395/62.
LCM(1785/124, 3347/930) = 5974395/62
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1785/124,3347/930
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 1785,3347
Least Common Multiple of Numerators i.e. LCM of 1785,3347 is 5974395.
GCF of Denominators means GCF of 124,930 as per the given fractions.
GCF of 124,930 is 62 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1785,3347
Given numbers has no common factors except 1. So, there LCM is their product i.e 5974395
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 1785,3347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1785,3347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1785,3347) x common factors =1 x 1 = 1
LCM(1785,3347) = ( 1785 × 3347 ) / 1
LCM(1785,3347) = 5974395 / 1
LCM(1785,3347) = 5974395
Lets's calculate GCF of 124,930
2 | 124, 930 |
31 | 62, 465 |
2, 15 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5974395/62
Therefore the LCM of Fractions 1785/124,3347/930 is 5974395/62
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 124,930 . The biggest common factor number is the GCF number.
So the greatest common factor 124,930 is 62.
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 1785/124, 3347/930?
Answer: LCM of Numerators as per given numbers 1785/124, 3347/930 is
LCM of Numerators i.e. for 1785,3347 is 5974395
GCF of denominators i.e. for 124,930 is 62.
Thus, LCM of Fractions is 5974395/62.Finally, LCM of Fractions for 1785/124, 3347/930 is 5974395/62.