Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 824/55, 347/70, 478/421 quickly i.e. 68336792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 824/55, 347/70, 478/421 is 68336792.
LCM(824/55, 347/70, 478/421) = 68336792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 824/55,347/70,478/421
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 824,347,478
Least Common Multiple of Numerators i.e. LCM of 824,347,478 is 68336792.
GCF of Denominators means GCF of 55,70,421 as per the given fractions.
GCF of 55,70,421 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 824,347,478
2 | 824, 347, 478 |
412, 347, 239 |
∴ So the LCM of the given numbers is 2 x 412 x 347 x 239 = 68336792
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 824,347,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,347,478) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(824,347,478) x common factors =1 x 2 = 2
LCM(824,347,478) = ( 824 × 347 × 478 ) / 2
LCM(824,347,478) = 136673584 / 2
LCM(824,347,478) = 68336792
Lets's calculate GCF of 55,70,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68336792/1
Therefore the LCM of Fractions 824/55,347/70,478/421 is 68336792
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 55,70,421 . The biggest common factor number is the GCF number.
So the greatest common factor 55,70,421 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 824/55, 347/70, 478/421?
Answer: LCM of Numerators as per given numbers 824/55, 347/70, 478/421 is
LCM of Numerators i.e. for 824,347,478 is 68336792
GCF of denominators i.e. for 55,70,421 is 1.
Thus, LCM of Fractions is 68336792.Finally, LCM of Fractions for 824/55, 347/70, 478/421 is 68336792.