Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 611/16, 220/21, 785/546 quickly i.e. 21103940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 611/16, 220/21, 785/546 is 21103940.
LCM(611/16, 220/21, 785/546) = 21103940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 611/16,220/21,785/546
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 611,220,785
Least Common Multiple of Numerators i.e. LCM of 611,220,785 is 21103940.
GCF of Denominators means GCF of 16,21,546 as per the given fractions.
GCF of 16,21,546 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 611,220,785
5 | 611, 220, 785 |
611, 44, 157 |
∴ So the LCM of the given numbers is 5 x 611 x 44 x 157 = 21103940
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 611,220,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,220,785) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(611,220,785) x common factors =1 x 5 = 5
LCM(611,220,785) = ( 611 × 220 × 785 ) / 5
LCM(611,220,785) = 105519700 / 5
LCM(611,220,785) = 21103940
Lets's calculate GCF of 16,21,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21103940/1
Therefore the LCM of Fractions 611/16,220/21,785/546 is 21103940
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 546
List of positive integer factors of 546 that divides 546 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 16,21,546 . The biggest common factor number is the GCF number.
So the greatest common factor 16,21,546 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 611/16, 220/21, 785/546?
Answer: LCM of Numerators as per given numbers 611/16, 220/21, 785/546 is
LCM of Numerators i.e. for 611,220,785 is 21103940
GCF of denominators i.e. for 16,21,546 is 1.
Thus, LCM of Fractions is 21103940.Finally, LCM of Fractions for 611/16, 220/21, 785/546 is 21103940.