Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/450, 21/696, 374/407 quickly i.e. 416262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/450, 21/696, 374/407 is 416262.
LCM(53/450, 21/696, 374/407) = 416262
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/450,21/696,374/407
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 53,21,374
Least Common Multiple of Numerators i.e. LCM of 53,21,374 is 416262.
GCF of Denominators means GCF of 450,696,407 as per the given fractions.
GCF of 450,696,407 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,21,374
Given numbers has no common factors except 1. So, there LCM is their product i.e 416262
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 53,21,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,21,374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,21,374) x common factors =1 x 1 = 1
LCM(53,21,374) = ( 53 × 21 × 374 ) / 1
LCM(53,21,374) = 416262 / 1
LCM(53,21,374) = 416262
Lets's calculate GCF of 450,696,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 416262/1
Therefore the LCM of Fractions 53/450,21/696,374/407 is 416262
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Greatest Common Factor
We found the factors 450,696,407 . The biggest common factor number is the GCF number.
So the greatest common factor 450,696,407 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 53/450, 21/696, 374/407?
Answer: LCM of Numerators as per given numbers 53/450, 21/696, 374/407 is
LCM of Numerators i.e. for 53,21,374 is 416262
GCF of denominators i.e. for 450,696,407 is 1.
Thus, LCM of Fractions is 416262.Finally, LCM of Fractions for 53/450, 21/696, 374/407 is 416262.