Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/420, 63/157, 732/488 quickly i.e. 245952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/420, 63/157, 732/488 is 245952.
LCM(64/420, 63/157, 732/488) = 245952
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/420,63/157,732/488
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 64,63,732
Least Common Multiple of Numerators i.e. LCM of 64,63,732 is 245952.
GCF of Denominators means GCF of 420,157,488 as per the given fractions.
GCF of 420,157,488 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,63,732
2 | 64, 63, 732 |
2 | 32, 63, 366 |
3 | 16, 63, 183 |
16, 21, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 21 x 61 = 245952
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 64,63,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,63,732) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(64,63,732) x common factors =1 x 12 = 12
LCM(64,63,732) = ( 64 × 63 × 732 ) / 12
LCM(64,63,732) = 2951424 / 12
LCM(64,63,732) = 245952
Lets's calculate GCF of 420,157,488
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245952/1
Therefore the LCM of Fractions 64/420,63/157,732/488 is 245952
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 420,157,488 . The biggest common factor number is the GCF number.
So the greatest common factor 420,157,488 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 64/420, 63/157, 732/488?
Answer: LCM of Numerators as per given numbers 64/420, 63/157, 732/488 is
LCM of Numerators i.e. for 64,63,732 is 245952
GCF of denominators i.e. for 420,157,488 is 1.
Thus, LCM of Fractions is 245952.Finally, LCM of Fractions for 64/420, 63/157, 732/488 is 245952.