Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/676, 1106/6318 quickly i.e. 27650/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/676, 1106/6318 is 27650/26.
LCM(50/676, 1106/6318) = 27650/26
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/676,1106/6318
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 50,1106
Least Common Multiple of Numerators i.e. LCM of 50,1106 is 27650.
GCF of Denominators means GCF of 676,6318 as per the given fractions.
GCF of 676,6318 is 26 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,1106
2 | 50, 1106 |
25, 553 |
∴ So the LCM of the given numbers is 2 x 25 x 553 = 27650
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 50,1106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,1106) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,1106) x common factors =2 x 1 = 2
LCM(50,1106) = ( 50 × 1106 ) / 2
LCM(50,1106) = 55300 / 2
LCM(50,1106) = 27650
Lets's calculate GCF of 676,6318
2 | 676, 6318 |
13 | 338, 3159 |
26, 243 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27650/26
Therefore the LCM of Fractions 50/676,1106/6318 is 27650/26
Factors of 676
List of positive integer factors of 676 that divides 676 without a remainder.
1,2,4,13,26,52,169,338,676
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Greatest Common Factor
We found the factors 676,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 676,6318 is 26.
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 50/676, 1106/6318?
Answer: LCM of Numerators as per given numbers 50/676, 1106/6318 is
LCM of Numerators i.e. for 50,1106 is 27650
GCF of denominators i.e. for 676,6318 is 26.
Thus, LCM of Fractions is 27650/26.Finally, LCM of Fractions for 50/676, 1106/6318 is 27650/26.