Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 670/79, 895/75, 669/308 quickly i.e. 80233170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 670/79, 895/75, 669/308 is 80233170.
LCM(670/79, 895/75, 669/308) = 80233170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 670/79,895/75,669/308
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 670,895,669
Least Common Multiple of Numerators i.e. LCM of 670,895,669 is 80233170.
GCF of Denominators means GCF of 79,75,308 as per the given fractions.
GCF of 79,75,308 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 670,895,669
5 | 670, 895, 669 |
134, 179, 669 |
∴ So the LCM of the given numbers is 5 x 134 x 179 x 669 = 80233170
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 670,895,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,895,669) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(670,895,669) x common factors =1 x 5 = 5
LCM(670,895,669) = ( 670 × 895 × 669 ) / 5
LCM(670,895,669) = 401165850 / 5
LCM(670,895,669) = 80233170
Lets's calculate GCF of 79,75,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80233170/1
Therefore the LCM of Fractions 670/79,895/75,669/308 is 80233170
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 79,75,308 . The biggest common factor number is the GCF number.
So the greatest common factor 79,75,308 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 670/79, 895/75, 669/308?
Answer: LCM of Numerators as per given numbers 670/79, 895/75, 669/308 is
LCM of Numerators i.e. for 670,895,669 is 80233170
GCF of denominators i.e. for 79,75,308 is 1.
Thus, LCM of Fractions is 80233170.Finally, LCM of Fractions for 670/79, 895/75, 669/308 is 80233170.