Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/85, 950/83, 474/376 quickly i.e. 1576050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/85, 950/83, 474/376 is 1576050.
LCM(35/85, 950/83, 474/376) = 1576050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/85,950/83,474/376
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 35,950,474
Least Common Multiple of Numerators i.e. LCM of 35,950,474 is 1576050.
GCF of Denominators means GCF of 85,83,376 as per the given fractions.
GCF of 85,83,376 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,950,474
2 | 35, 950, 474 |
5 | 35, 475, 237 |
7, 95, 237 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 95 x 237 = 1576050
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 35,950,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,950,474) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(35,950,474) x common factors =1 x 10 = 10
LCM(35,950,474) = ( 35 × 950 × 474 ) / 10
LCM(35,950,474) = 15760500 / 10
LCM(35,950,474) = 1576050
Lets's calculate GCF of 85,83,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1576050/1
Therefore the LCM of Fractions 35/85,950/83,474/376 is 1576050
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 85,83,376 . The biggest common factor number is the GCF number.
So the greatest common factor 85,83,376 is 1.
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 35/85, 950/83, 474/376?
Answer: LCM of Numerators as per given numbers 35/85, 950/83, 474/376 is
LCM of Numerators i.e. for 35,950,474 is 1576050
GCF of denominators i.e. for 85,83,376 is 1.
Thus, LCM of Fractions is 1576050.Finally, LCM of Fractions for 35/85, 950/83, 474/376 is 1576050.