Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/50, 22/178, 26/632 quickly i.e. 429 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/50, 22/178, 26/632 is 429.
LCM(6/50, 22/178, 26/632) = 429
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/50,22/178,26/632
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 6,22,26
Least Common Multiple of Numerators i.e. LCM of 6,22,26 is 858.
GCF of Denominators means GCF of 50,178,632 as per the given fractions.
GCF of 50,178,632 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,22,26
2 | 6, 22, 26 |
3, 11, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 13 = 858
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 6,22,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,22,26) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(6,22,26) x common factors =2 x 2 = 4
LCM(6,22,26) = ( 6 × 22 × 26 ) / 4
LCM(6,22,26) = 3432 / 4
LCM(6,22,26) = 858
Lets's calculate GCF of 50,178,632
2 | 50, 178, 632 |
25, 89, 316 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858/2
Therefore the LCM of Fractions 6/50,22/178,26/632 is 429
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 50,178,632 . The biggest common factor number is the GCF number.
So the greatest common factor 50,178,632 is 2.
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 6/50, 22/178, 26/632?
Answer: LCM of Numerators as per given numbers 6/50, 22/178, 26/632 is
LCM of Numerators i.e. for 6,22,26 is 858
GCF of denominators i.e. for 50,178,632 is 2.
Thus, LCM of Fractions is 429.Finally, LCM of Fractions for 6/50, 22/178, 26/632 is 429.