Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/196, 207/128, 366/521 quickly i.e. 1237446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/196, 207/128, 366/521 is 1237446.
LCM(49/196, 207/128, 366/521) = 1237446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/196,207/128,366/521
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 49,207,366
Least Common Multiple of Numerators i.e. LCM of 49,207,366 is 1237446.
GCF of Denominators means GCF of 196,128,521 as per the given fractions.
GCF of 196,128,521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,207,366
3 | 49, 207, 366 |
49, 69, 122 |
∴ So the LCM of the given numbers is 3 x 49 x 69 x 122 = 1237446
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 49,207,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,207,366) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(49,207,366) x common factors =1 x 3 = 3
LCM(49,207,366) = ( 49 × 207 × 366 ) / 3
LCM(49,207,366) = 3712338 / 3
LCM(49,207,366) = 1237446
Lets's calculate GCF of 196,128,521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1237446/1
Therefore the LCM of Fractions 49/196,207/128,366/521 is 1237446
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Greatest Common Factor
We found the factors 196,128,521 . The biggest common factor number is the GCF number.
So the greatest common factor 196,128,521 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 49/196, 207/128, 366/521?
Answer: LCM of Numerators as per given numbers 49/196, 207/128, 366/521 is
LCM of Numerators i.e. for 49,207,366 is 1237446
GCF of denominators i.e. for 196,128,521 is 1.
Thus, LCM of Fractions is 1237446.Finally, LCM of Fractions for 49/196, 207/128, 366/521 is 1237446.