Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/485, 78/626, 134/804 quickly i.e. 245622 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/485, 78/626, 134/804 is 245622.
LCM(94/485, 78/626, 134/804) = 245622
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/485,78/626,134/804
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 94,78,134
Least Common Multiple of Numerators i.e. LCM of 94,78,134 is 245622.
GCF of Denominators means GCF of 485,626,804 as per the given fractions.
GCF of 485,626,804 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,78,134
2 | 94, 78, 134 |
47, 39, 67 |
∴ So the LCM of the given numbers is 2 x 47 x 39 x 67 = 245622
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 94,78,134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,78,134) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(94,78,134) x common factors =2 x 2 = 4
LCM(94,78,134) = ( 94 × 78 × 134 ) / 4
LCM(94,78,134) = 982488 / 4
LCM(94,78,134) = 245622
Lets's calculate GCF of 485,626,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245622/1
Therefore the LCM of Fractions 94/485,78/626,134/804 is 245622
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 485,626,804 . The biggest common factor number is the GCF number.
So the greatest common factor 485,626,804 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 94/485, 78/626, 134/804?
Answer: LCM of Numerators as per given numbers 94/485, 78/626, 134/804 is
LCM of Numerators i.e. for 94,78,134 is 245622
GCF of denominators i.e. for 485,626,804 is 1.
Thus, LCM of Fractions is 245622.Finally, LCM of Fractions for 94/485, 78/626, 134/804 is 245622.