Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/85, 51/37, 71/61, 69/946 quickly i.e. 2748339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/85, 51/37, 71/61, 69/946 is 2748339.
LCM(99/85, 51/37, 71/61, 69/946) = 2748339
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/85,51/37,71/61,69/946
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 99,51,71,69
Least Common Multiple of Numerators i.e. LCM of 99,51,71,69 is 2748339.
GCF of Denominators means GCF of 85,37,61,946 as per the given fractions.
GCF of 85,37,61,946 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,51,71,69
3 | 99, 51, 71, 69 |
33, 17, 71, 23 |
∴ So the LCM of the given numbers is 3 x 33 x 17 x 71 x 23 = 2748339
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 99,51,71,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,51,71,69) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(99,51,71,69) x common factors =1 x 9 = 9
LCM(99,51,71,69) = ( 99 × 51 × 71 × 69 ) / 9
LCM(99,51,71,69) = 24735051 / 9
LCM(99,51,71,69) = 2748339
Lets's calculate GCF of 85,37,61,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2748339/1
Therefore the LCM of Fractions 99/85,51/37,71/61,69/946 is 2748339
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 85,37,61,946 . The biggest common factor number is the GCF number.
So the greatest common factor 85,37,61,946 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 99/85, 51/37, 71/61, 69/946?
Answer: LCM of Numerators as per given numbers 99/85, 51/37, 71/61, 69/946 is
LCM of Numerators i.e. for 99,51,71,69 is 2748339
GCF of denominators i.e. for 85,37,61,946 is 1.
Thus, LCM of Fractions is 2748339.Finally, LCM of Fractions for 99/85, 51/37, 71/61, 69/946 is 2748339.