Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 266/701, 369/190, 445/847 quickly i.e. 43678530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 266/701, 369/190, 445/847 is 43678530.
LCM(266/701, 369/190, 445/847) = 43678530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 266/701,369/190,445/847
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 266,369,445
Least Common Multiple of Numerators i.e. LCM of 266,369,445 is 43678530.
GCF of Denominators means GCF of 701,190,847 as per the given fractions.
GCF of 701,190,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 266,369,445
Given numbers has no common factors except 1. So, there LCM is their product i.e 43678530
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 266,369,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,369,445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(266,369,445) x common factors =1 x 1 = 1
LCM(266,369,445) = ( 266 × 369 × 445 ) / 1
LCM(266,369,445) = 43678530 / 1
LCM(266,369,445) = 43678530
Lets's calculate GCF of 701,190,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43678530/1
Therefore the LCM of Fractions 266/701,369/190,445/847 is 43678530
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 701,190,847 . The biggest common factor number is the GCF number.
So the greatest common factor 701,190,847 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 266/701, 369/190, 445/847?
Answer: LCM of Numerators as per given numbers 266/701, 369/190, 445/847 is
LCM of Numerators i.e. for 266,369,445 is 43678530
GCF of denominators i.e. for 701,190,847 is 1.
Thus, LCM of Fractions is 43678530.Finally, LCM of Fractions for 266/701, 369/190, 445/847 is 43678530.