Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/836, 926/861, 574/318 quickly i.e. 7707098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/836, 926/861, 574/318 is 7707098.
LCM(58/836, 926/861, 574/318) = 7707098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/836,926/861,574/318
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 58,926,574
Least Common Multiple of Numerators i.e. LCM of 58,926,574 is 7707098.
GCF of Denominators means GCF of 836,861,318 as per the given fractions.
GCF of 836,861,318 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,926,574
2 | 58, 926, 574 |
29, 463, 287 |
∴ So the LCM of the given numbers is 2 x 29 x 463 x 287 = 7707098
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 58,926,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,926,574) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(58,926,574) x common factors =2 x 2 = 4
LCM(58,926,574) = ( 58 × 926 × 574 ) / 4
LCM(58,926,574) = 30828392 / 4
LCM(58,926,574) = 7707098
Lets's calculate GCF of 836,861,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7707098/1
Therefore the LCM of Fractions 58/836,926/861,574/318 is 7707098
Factors of 836
List of positive integer factors of 836 that divides 836 without a remainder.
1,2,4,11,19,22,38,44,76,209,418,836
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 836,861,318 . The biggest common factor number is the GCF number.
So the greatest common factor 836,861,318 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 58/836, 926/861, 574/318?
Answer: LCM of Numerators as per given numbers 58/836, 926/861, 574/318 is
LCM of Numerators i.e. for 58,926,574 is 7707098
GCF of denominators i.e. for 836,861,318 is 1.
Thus, LCM of Fractions is 7707098.Finally, LCM of Fractions for 58/836, 926/861, 574/318 is 7707098.