Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 787/370, 3954/784 quickly i.e. 1555899 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 787/370, 3954/784 is 1555899.
LCM(787/370, 3954/784) = 1555899
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 787/370,3954/784
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 787,3954
Least Common Multiple of Numerators i.e. LCM of 787,3954 is 3111798.
GCF of Denominators means GCF of 370,784 as per the given fractions.
GCF of 370,784 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 787,3954
Given numbers has no common factors except 1. So, there LCM is their product i.e 3111798
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 787,3954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,3954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,3954) x common factors =1 x 1 = 1
LCM(787,3954) = ( 787 × 3954 ) / 1
LCM(787,3954) = 3111798 / 1
LCM(787,3954) = 3111798
Lets's calculate GCF of 370,784
2 | 370, 784 |
185, 392 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3111798/2
Therefore the LCM of Fractions 787/370,3954/784 is 1555899
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
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 370,784 . The biggest common factor number is the GCF number.
So the greatest common factor 370,784 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 787/370, 3954/784?
Answer: LCM of Numerators as per given numbers 787/370, 3954/784 is
LCM of Numerators i.e. for 787,3954 is 3111798
GCF of denominators i.e. for 370,784 is 2.
Thus, LCM of Fractions is 1555899.Finally, LCM of Fractions for 787/370, 3954/784 is 1555899.