Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/70, 160/61, 449/840 quickly i.e. 4094880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/70, 160/61, 449/840 is 4094880.
LCM(57/70, 160/61, 449/840) = 4094880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/70,160/61,449/840
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 57,160,449
Least Common Multiple of Numerators i.e. LCM of 57,160,449 is 4094880.
GCF of Denominators means GCF of 70,61,840 as per the given fractions.
GCF of 70,61,840 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,160,449
Given numbers has no common factors except 1. So, there LCM is their product i.e 4094880
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 57,160,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,160,449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,160,449) x common factors =1 x 1 = 1
LCM(57,160,449) = ( 57 × 160 × 449 ) / 1
LCM(57,160,449) = 4094880 / 1
LCM(57,160,449) = 4094880
Lets's calculate GCF of 70,61,840
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4094880/1
Therefore the LCM of Fractions 57/70,160/61,449/840 is 4094880
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Greatest Common Factor
We found the factors 70,61,840 . The biggest common factor number is the GCF number.
So the greatest common factor 70,61,840 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 57/70, 160/61, 449/840?
Answer: LCM of Numerators as per given numbers 57/70, 160/61, 449/840 is
LCM of Numerators i.e. for 57,160,449 is 4094880
GCF of denominators i.e. for 70,61,840 is 1.
Thus, LCM of Fractions is 4094880.Finally, LCM of Fractions for 57/70, 160/61, 449/840 is 4094880.