Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 220/37, 781/84, 881/25 quickly i.e. 13761220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 220/37, 781/84, 881/25 is 13761220.
LCM(220/37, 781/84, 881/25) = 13761220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 220/37,781/84,881/25
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 220,781,881
Least Common Multiple of Numerators i.e. LCM of 220,781,881 is 13761220.
GCF of Denominators means GCF of 37,84,25 as per the given fractions.
GCF of 37,84,25 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 220,781,881
11 | 220, 781, 881 |
20, 71, 881 |
∴ So the LCM of the given numbers is 11 x 20 x 71 x 881 = 13761220
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 220,781,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,781,881) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(220,781,881) x common factors =1 x 11 = 11
LCM(220,781,881) = ( 220 × 781 × 881 ) / 11
LCM(220,781,881) = 151373420 / 11
LCM(220,781,881) = 13761220
Lets's calculate GCF of 37,84,25
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13761220/1
Therefore the LCM of Fractions 220/37,781/84,881/25 is 13761220
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Greatest Common Factor
We found the factors 37,84,25 . The biggest common factor number is the GCF number.
So the greatest common factor 37,84,25 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 220/37, 781/84, 881/25?
Answer: LCM of Numerators as per given numbers 220/37, 781/84, 881/25 is
LCM of Numerators i.e. for 220,781,881 is 13761220
GCF of denominators i.e. for 37,84,25 is 1.
Thus, LCM of Fractions is 13761220.Finally, LCM of Fractions for 220/37, 781/84, 881/25 is 13761220.