Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/883, 23/748, 379/101 quickly i.e. 191774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/883, 23/748, 379/101 is 191774.
LCM(22/883, 23/748, 379/101) = 191774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/883,23/748,379/101
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 22,23,379
Least Common Multiple of Numerators i.e. LCM of 22,23,379 is 191774.
GCF of Denominators means GCF of 883,748,101 as per the given fractions.
GCF of 883,748,101 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,23,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 191774
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 22,23,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,23,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,23,379) x common factors =1 x 1 = 1
LCM(22,23,379) = ( 22 × 23 × 379 ) / 1
LCM(22,23,379) = 191774 / 1
LCM(22,23,379) = 191774
Lets's calculate GCF of 883,748,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191774/1
Therefore the LCM of Fractions 22/883,23/748,379/101 is 191774
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 883,748,101 . The biggest common factor number is the GCF number.
So the greatest common factor 883,748,101 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 22/883, 23/748, 379/101?
Answer: LCM of Numerators as per given numbers 22/883, 23/748, 379/101 is
LCM of Numerators i.e. for 22,23,379 is 191774
GCF of denominators i.e. for 883,748,101 is 1.
Thus, LCM of Fractions is 191774.Finally, LCM of Fractions for 22/883, 23/748, 379/101 is 191774.