Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/928, 72/456, 685/922 quickly i.e. 567180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/928, 72/456, 685/922 is 567180.
LCM(92/928, 72/456, 685/922) = 567180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/928,72/456,685/922
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 92,72,685
Least Common Multiple of Numerators i.e. LCM of 92,72,685 is 1134360.
GCF of Denominators means GCF of 928,456,922 as per the given fractions.
GCF of 928,456,922 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,72,685
2 | 92, 72, 685 |
2 | 46, 36, 685 |
23, 18, 685 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 18 x 685 = 1134360
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 92,72,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,72,685) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(92,72,685) x common factors =1 x 4 = 4
LCM(92,72,685) = ( 92 × 72 × 685 ) / 4
LCM(92,72,685) = 4537440 / 4
LCM(92,72,685) = 1134360
Lets's calculate GCF of 928,456,922
2 | 928, 456, 922 |
464, 228, 461 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1134360/2
Therefore the LCM of Fractions 92/928,72/456,685/922 is 567180
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
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 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 928,456,922 . The biggest common factor number is the GCF number.
So the greatest common factor 928,456,922 is 2.
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 92/928, 72/456, 685/922?
Answer: LCM of Numerators as per given numbers 92/928, 72/456, 685/922 is
LCM of Numerators i.e. for 92,72,685 is 1134360
GCF of denominators i.e. for 928,456,922 is 2.
Thus, LCM of Fractions is 567180.Finally, LCM of Fractions for 92/928, 72/456, 685/922 is 567180.