Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/858, 356/951, 990/942 quickly i.e. 58740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/858, 356/951, 990/942 is 58740.
LCM(44/858, 356/951, 990/942) = 58740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/858,356/951,990/942
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 44,356,990
Least Common Multiple of Numerators i.e. LCM of 44,356,990 is 176220.
GCF of Denominators means GCF of 858,951,942 as per the given fractions.
GCF of 858,951,942 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,356,990
2 | 44, 356, 990 |
2 | 22, 178, 495 |
11 | 11, 89, 495 |
1, 89, 45 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 1 x 89 x 45 = 176220
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 44,356,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,356,990) = 2
common factors(in case of two or more numbers have common factors) = 44
GCF(44,356,990) x common factors =2 x 44 = 88
LCM(44,356,990) = ( 44 × 356 × 990 ) / 88
LCM(44,356,990) = 15507360 / 88
LCM(44,356,990) = 176220
Lets's calculate GCF of 858,951,942
3 | 858, 951, 942 |
286, 317, 314 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176220/3
Therefore the LCM of Fractions 44/858,356/951,990/942 is 58740
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 858,951,942 . The biggest common factor number is the GCF number.
So the greatest common factor 858,951,942 is 3.
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 44/858, 356/951, 990/942?
Answer: LCM of Numerators as per given numbers 44/858, 356/951, 990/942 is
LCM of Numerators i.e. for 44,356,990 is 176220
GCF of denominators i.e. for 858,951,942 is 3.
Thus, LCM of Fractions is 58740.Finally, LCM of Fractions for 44/858, 356/951, 990/942 is 58740.