Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/16, 749/43, 322/701 quickly i.e. 1894970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/16, 749/43, 322/701 is 1894970.
LCM(55/16, 749/43, 322/701) = 1894970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/16,749/43,322/701
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 55,749,322
Least Common Multiple of Numerators i.e. LCM of 55,749,322 is 1894970.
GCF of Denominators means GCF of 16,43,701 as per the given fractions.
GCF of 16,43,701 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,749,322
7 | 55, 749, 322 |
55, 107, 46 |
∴ So the LCM of the given numbers is 7 x 55 x 107 x 46 = 1894970
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 55,749,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,749,322) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(55,749,322) x common factors =1 x 7 = 7
LCM(55,749,322) = ( 55 × 749 × 322 ) / 7
LCM(55,749,322) = 13264790 / 7
LCM(55,749,322) = 1894970
Lets's calculate GCF of 16,43,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1894970/1
Therefore the LCM of Fractions 55/16,749/43,322/701 is 1894970
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Greatest Common Factor
We found the factors 16,43,701 . The biggest common factor number is the GCF number.
So the greatest common factor 16,43,701 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 55/16, 749/43, 322/701?
Answer: LCM of Numerators as per given numbers 55/16, 749/43, 322/701 is
LCM of Numerators i.e. for 55,749,322 is 1894970
GCF of denominators i.e. for 16,43,701 is 1.
Thus, LCM of Fractions is 1894970.Finally, LCM of Fractions for 55/16, 749/43, 322/701 is 1894970.