Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/341, 177/703, 126/448 quickly i.e. 237888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/341, 177/703, 126/448 is 237888.
LCM(64/341, 177/703, 126/448) = 237888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/341,177/703,126/448
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 64,177,126
Least Common Multiple of Numerators i.e. LCM of 64,177,126 is 237888.
GCF of Denominators means GCF of 341,703,448 as per the given fractions.
GCF of 341,703,448 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,177,126
2 | 64, 177, 126 |
3 | 32, 177, 63 |
32, 59, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 32 x 59 x 21 = 237888
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 64,177,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,177,126) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(64,177,126) x common factors =1 x 6 = 6
LCM(64,177,126) = ( 64 × 177 × 126 ) / 6
LCM(64,177,126) = 1427328 / 6
LCM(64,177,126) = 237888
Lets's calculate GCF of 341,703,448
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237888/1
Therefore the LCM of Fractions 64/341,177/703,126/448 is 237888
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Greatest Common Factor
We found the factors 341,703,448 . The biggest common factor number is the GCF number.
So the greatest common factor 341,703,448 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 64/341, 177/703, 126/448?
Answer: LCM of Numerators as per given numbers 64/341, 177/703, 126/448 is
LCM of Numerators i.e. for 64,177,126 is 237888
GCF of denominators i.e. for 341,703,448 is 1.
Thus, LCM of Fractions is 237888.Finally, LCM of Fractions for 64/341, 177/703, 126/448 is 237888.