Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/12, 77/88, 13/72, 10/402 quickly i.e. 5005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/12, 77/88, 13/72, 10/402 is 5005.
LCM(55/12, 77/88, 13/72, 10/402) = 5005
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/12,77/88,13/72,10/402
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 55,77,13,10
Least Common Multiple of Numerators i.e. LCM of 55,77,13,10 is 10010.
GCF of Denominators means GCF of 12,88,72,402 as per the given fractions.
GCF of 12,88,72,402 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,77,13,10
5 | 55, 77, 13, 10 |
11 | 11, 77, 13, 2 |
1, 7, 13, 2 |
∴ So the LCM of the given numbers is 5 x 11 x 1 x 7 x 13 x 2 = 10010
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 55,77,13,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,77,13,10) = 1
common factors(in case of two or more numbers have common factors) = 55
GCF(55,77,13,10) x common factors =1 x 55 = 55
LCM(55,77,13,10) = ( 55 × 77 × 13 × 10 ) / 55
LCM(55,77,13,10) = 550550 / 55
LCM(55,77,13,10) = 10010
Lets's calculate GCF of 12,88,72,402
2 | 12, 88, 72, 402 |
6, 44, 36, 201 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10010/2
Therefore the LCM of Fractions 55/12,77/88,13/72,10/402 is 5005
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 12,88,72,402 . The biggest common factor number is the GCF number.
So the greatest common factor 12,88,72,402 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 55/12, 77/88, 13/72, 10/402?
Answer: LCM of Numerators as per given numbers 55/12, 77/88, 13/72, 10/402 is
LCM of Numerators i.e. for 55,77,13,10 is 10010
GCF of denominators i.e. for 12,88,72,402 is 2.
Thus, LCM of Fractions is 5005.Finally, LCM of Fractions for 55/12, 77/88, 13/72, 10/402 is 5005.