Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/850, 320/922, 617/784 quickly i.e. 6614240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/850, 320/922, 617/784 is 6614240.
LCM(67/850, 320/922, 617/784) = 6614240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/850,320/922,617/784
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 67,320,617
Least Common Multiple of Numerators i.e. LCM of 67,320,617 is 13228480.
GCF of Denominators means GCF of 850,922,784 as per the given fractions.
GCF of 850,922,784 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,320,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 13228480
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 67,320,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,320,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,320,617) x common factors =1 x 1 = 1
LCM(67,320,617) = ( 67 × 320 × 617 ) / 1
LCM(67,320,617) = 13228480 / 1
LCM(67,320,617) = 13228480
Lets's calculate GCF of 850,922,784
2 | 850, 922, 784 |
425, 461, 392 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13228480/2
Therefore the LCM of Fractions 67/850,320/922,617/784 is 6614240
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 850,922,784 . The biggest common factor number is the GCF number.
So the greatest common factor 850,922,784 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 67/850, 320/922, 617/784?
Answer: LCM of Numerators as per given numbers 67/850, 320/922, 617/784 is
LCM of Numerators i.e. for 67,320,617 is 13228480
GCF of denominators i.e. for 850,922,784 is 2.
Thus, LCM of Fractions is 6614240.Finally, LCM of Fractions for 67/850, 320/922, 617/784 is 6614240.