Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/648, 623/11, 246/155 quickly i.e. 6743352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/648, 623/11, 246/155 is 6743352.
LCM(88/648, 623/11, 246/155) = 6743352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/648,623/11,246/155
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 88,623,246
Least Common Multiple of Numerators i.e. LCM of 88,623,246 is 6743352.
GCF of Denominators means GCF of 648,11,155 as per the given fractions.
GCF of 648,11,155 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,623,246
2 | 88, 623, 246 |
44, 623, 123 |
∴ So the LCM of the given numbers is 2 x 44 x 623 x 123 = 6743352
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 88,623,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,623,246) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(88,623,246) x common factors =1 x 2 = 2
LCM(88,623,246) = ( 88 × 623 × 246 ) / 2
LCM(88,623,246) = 13486704 / 2
LCM(88,623,246) = 6743352
Lets's calculate GCF of 648,11,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6743352/1
Therefore the LCM of Fractions 88/648,623/11,246/155 is 6743352
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Greatest Common Factor
We found the factors 648,11,155 . The biggest common factor number is the GCF number.
So the greatest common factor 648,11,155 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 88/648, 623/11, 246/155?
Answer: LCM of Numerators as per given numbers 88/648, 623/11, 246/155 is
LCM of Numerators i.e. for 88,623,246 is 6743352
GCF of denominators i.e. for 648,11,155 is 1.
Thus, LCM of Fractions is 6743352.Finally, LCM of Fractions for 88/648, 623/11, 246/155 is 6743352.