Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/670, 385/297, 632/896 quickly i.e. 4623080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/670, 385/297, 632/896 is 4623080.
LCM(38/670, 385/297, 632/896) = 4623080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/670,385/297,632/896
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 38,385,632
Least Common Multiple of Numerators i.e. LCM of 38,385,632 is 4623080.
GCF of Denominators means GCF of 670,297,896 as per the given fractions.
GCF of 670,297,896 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,385,632
2 | 38, 385, 632 |
19, 385, 316 |
∴ So the LCM of the given numbers is 2 x 19 x 385 x 316 = 4623080
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 38,385,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,385,632) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(38,385,632) x common factors =1 x 2 = 2
LCM(38,385,632) = ( 38 × 385 × 632 ) / 2
LCM(38,385,632) = 9246160 / 2
LCM(38,385,632) = 4623080
Lets's calculate GCF of 670,297,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4623080/1
Therefore the LCM of Fractions 38/670,385/297,632/896 is 4623080
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 670,297,896 . The biggest common factor number is the GCF number.
So the greatest common factor 670,297,896 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 38/670, 385/297, 632/896?
Answer: LCM of Numerators as per given numbers 38/670, 385/297, 632/896 is
LCM of Numerators i.e. for 38,385,632 is 4623080
GCF of denominators i.e. for 670,297,896 is 1.
Thus, LCM of Fractions is 4623080.Finally, LCM of Fractions for 38/670, 385/297, 632/896 is 4623080.