Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/456, 800/732, 150/211 quickly i.e. 45600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/456, 800/732, 150/211 is 45600.
LCM(76/456, 800/732, 150/211) = 45600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/456,800/732,150/211
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 76,800,150
Least Common Multiple of Numerators i.e. LCM of 76,800,150 is 45600.
GCF of Denominators means GCF of 456,732,211 as per the given fractions.
GCF of 456,732,211 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,800,150
2 | 76, 800, 150 |
2 | 38, 400, 75 |
5 | 19, 200, 75 |
5 | 19, 40, 15 |
19, 8, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 19 x 8 x 3 = 45600
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 76,800,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,800,150) = 2
common factors(in case of two or more numbers have common factors) = 100
GCF(76,800,150) x common factors =2 x 100 = 200
LCM(76,800,150) = ( 76 × 800 × 150 ) / 200
LCM(76,800,150) = 9120000 / 200
LCM(76,800,150) = 45600
Lets's calculate GCF of 456,732,211
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45600/1
Therefore the LCM of Fractions 76/456,800/732,150/211 is 45600
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
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 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors 456,732,211 . The biggest common factor number is the GCF number.
So the greatest common factor 456,732,211 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 76/456, 800/732, 150/211?
Answer: LCM of Numerators as per given numbers 76/456, 800/732, 150/211 is
LCM of Numerators i.e. for 76,800,150 is 45600
GCF of denominators i.e. for 456,732,211 is 1.
Thus, LCM of Fractions is 45600.Finally, LCM of Fractions for 76/456, 800/732, 150/211 is 45600.