Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/732, 162/896, 650/875 quickly i.e. 3211650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/732, 162/896, 650/875 is 3211650.
LCM(61/732, 162/896, 650/875) = 3211650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/732,162/896,650/875
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 61,162,650
Least Common Multiple of Numerators i.e. LCM of 61,162,650 is 3211650.
GCF of Denominators means GCF of 732,896,875 as per the given fractions.
GCF of 732,896,875 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,162,650
2 | 61, 162, 650 |
61, 81, 325 |
∴ So the LCM of the given numbers is 2 x 61 x 81 x 325 = 3211650
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 61,162,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,162,650) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(61,162,650) x common factors =1 x 2 = 2
LCM(61,162,650) = ( 61 × 162 × 650 ) / 2
LCM(61,162,650) = 6423300 / 2
LCM(61,162,650) = 3211650
Lets's calculate GCF of 732,896,875
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3211650/1
Therefore the LCM of Fractions 61/732,162/896,650/875 is 3211650
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 732,896,875 . The biggest common factor number is the GCF number.
So the greatest common factor 732,896,875 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 61/732, 162/896, 650/875?
Answer: LCM of Numerators as per given numbers 61/732, 162/896, 650/875 is
LCM of Numerators i.e. for 61,162,650 is 3211650
GCF of denominators i.e. for 732,896,875 is 1.
Thus, LCM of Fractions is 3211650.Finally, LCM of Fractions for 61/732, 162/896, 650/875 is 3211650.