Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/935, 957/545, 100/425 quickly i.e. 937860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/935, 957/545, 100/425 is 937860.
LCM(49/935, 957/545, 100/425) = 937860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/935,957/545,100/425
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 49,957,100
Least Common Multiple of Numerators i.e. LCM of 49,957,100 is 4689300.
GCF of Denominators means GCF of 935,545,425 as per the given fractions.
GCF of 935,545,425 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,957,100
Given numbers has no common factors except 1. So, there LCM is their product i.e 4689300
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 49,957,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,957,100) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,957,100) x common factors =1 x 1 = 1
LCM(49,957,100) = ( 49 × 957 × 100 ) / 1
LCM(49,957,100) = 4689300 / 1
LCM(49,957,100) = 4689300
Lets's calculate GCF of 935,545,425
5 | 935, 545, 425 |
187, 109, 85 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4689300/5
Therefore the LCM of Fractions 49/935,957/545,100/425 is 937860
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Greatest Common Factor
We found the factors 935,545,425 . The biggest common factor number is the GCF number.
So the greatest common factor 935,545,425 is 5.
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 49/935, 957/545, 100/425?
Answer: LCM of Numerators as per given numbers 49/935, 957/545, 100/425 is
LCM of Numerators i.e. for 49,957,100 is 4689300
GCF of denominators i.e. for 935,545,425 is 5.
Thus, LCM of Fractions is 937860.Finally, LCM of Fractions for 49/935, 957/545, 100/425 is 937860.