Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/889, 97/657, 368/180 quickly i.e. 107088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/889, 97/657, 368/180 is 107088.
LCM(48/889, 97/657, 368/180) = 107088
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/889,97/657,368/180
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 48,97,368
Least Common Multiple of Numerators i.e. LCM of 48,97,368 is 107088.
GCF of Denominators means GCF of 889,657,180 as per the given fractions.
GCF of 889,657,180 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,97,368
2 | 48, 97, 368 |
2 | 24, 97, 184 |
2 | 12, 97, 92 |
2 | 6, 97, 46 |
3, 97, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 97 x 23 = 107088
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 48,97,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,97,368) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(48,97,368) x common factors =1 x 16 = 16
LCM(48,97,368) = ( 48 × 97 × 368 ) / 16
LCM(48,97,368) = 1713408 / 16
LCM(48,97,368) = 107088
Lets's calculate GCF of 889,657,180
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107088/1
Therefore the LCM of Fractions 48/889,97/657,368/180 is 107088
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 889,657,180 . The biggest common factor number is the GCF number.
So the greatest common factor 889,657,180 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 48/889, 97/657, 368/180?
Answer: LCM of Numerators as per given numbers 48/889, 97/657, 368/180 is
LCM of Numerators i.e. for 48,97,368 is 107088
GCF of denominators i.e. for 889,657,180 is 1.
Thus, LCM of Fractions is 107088.Finally, LCM of Fractions for 48/889, 97/657, 368/180 is 107088.