Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/741, 92/370, 14/714 quickly i.e. 644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/741, 92/370, 14/714 is 644.
LCM(1/741, 92/370, 14/714) = 644
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/741,92/370,14/714
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 1,92,14
Least Common Multiple of Numerators i.e. LCM of 1,92,14 is 644.
GCF of Denominators means GCF of 741,370,714 as per the given fractions.
GCF of 741,370,714 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,92,14
2 | 1, 92, 14 |
1, 46, 7 |
∴ So the LCM of the given numbers is 2 x 1 x 46 x 7 = 644
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 1,92,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,92,14) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(1,92,14) x common factors =1 x 2 = 2
LCM(1,92,14) = ( 1 × 92 × 14 ) / 2
LCM(1,92,14) = 1288 / 2
LCM(1,92,14) = 644
Lets's calculate GCF of 741,370,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 644/1
Therefore the LCM of Fractions 1/741,92/370,14/714 is 644
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
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 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 741,370,714 . The biggest common factor number is the GCF number.
So the greatest common factor 741,370,714 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 1/741, 92/370, 14/714?
Answer: LCM of Numerators as per given numbers 1/741, 92/370, 14/714 is
LCM of Numerators i.e. for 1,92,14 is 644
GCF of denominators i.e. for 741,370,714 is 1.
Thus, LCM of Fractions is 644.Finally, LCM of Fractions for 1/741, 92/370, 14/714 is 644.