Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1781/922, 8101/310 quickly i.e. 14427881/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1781/922, 8101/310 is 14427881/2.
LCM(1781/922, 8101/310) = 14427881/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1781/922,8101/310
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 1781,8101
Least Common Multiple of Numerators i.e. LCM of 1781,8101 is 14427881.
GCF of Denominators means GCF of 922,310 as per the given fractions.
GCF of 922,310 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1781,8101
Given numbers has no common factors except 1. So, there LCM is their product i.e 14427881
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 1781,8101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1781,8101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1781,8101) x common factors =1 x 1 = 1
LCM(1781,8101) = ( 1781 × 8101 ) / 1
LCM(1781,8101) = 14427881 / 1
LCM(1781,8101) = 14427881
Lets's calculate GCF of 922,310
2 | 922, 310 |
461, 155 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14427881/2
Therefore the LCM of Fractions 1781/922,8101/310 is 14427881/2
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 922,310 . The biggest common factor number is the GCF number.
So the greatest common factor 922,310 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 1781/922, 8101/310?
Answer: LCM of Numerators as per given numbers 1781/922, 8101/310 is
LCM of Numerators i.e. for 1781,8101 is 14427881
GCF of denominators i.e. for 922,310 is 2.
Thus, LCM of Fractions is 14427881/2.Finally, LCM of Fractions for 1781/922, 8101/310 is 14427881/2.