Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/23, 995/32, 638/292 quickly i.e. 4443670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/23, 995/32, 638/292 is 4443670.
LCM(70/23, 995/32, 638/292) = 4443670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/23,995/32,638/292
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 70,995,638
Least Common Multiple of Numerators i.e. LCM of 70,995,638 is 4443670.
GCF of Denominators means GCF of 23,32,292 as per the given fractions.
GCF of 23,32,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,995,638
2 | 70, 995, 638 |
5 | 35, 995, 319 |
7, 199, 319 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 199 x 319 = 4443670
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 70,995,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,995,638) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,995,638) x common factors =1 x 10 = 10
LCM(70,995,638) = ( 70 × 995 × 638 ) / 10
LCM(70,995,638) = 44436700 / 10
LCM(70,995,638) = 4443670
Lets's calculate GCF of 23,32,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4443670/1
Therefore the LCM of Fractions 70/23,995/32,638/292 is 4443670
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 23,32,292 . The biggest common factor number is the GCF number.
So the greatest common factor 23,32,292 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 70/23, 995/32, 638/292?
Answer: LCM of Numerators as per given numbers 70/23, 995/32, 638/292 is
LCM of Numerators i.e. for 70,995,638 is 4443670
GCF of denominators i.e. for 23,32,292 is 1.
Thus, LCM of Fractions is 4443670.Finally, LCM of Fractions for 70/23, 995/32, 638/292 is 4443670.