Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 354/67, 990/70, 770/60 quickly i.e. 408870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 354/67, 990/70, 770/60 is 408870.
LCM(354/67, 990/70, 770/60) = 408870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 354/67,990/70,770/60
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 354,990,770
Least Common Multiple of Numerators i.e. LCM of 354,990,770 is 408870.
GCF of Denominators means GCF of 67,70,60 as per the given fractions.
GCF of 67,70,60 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 354,990,770
2 | 354, 990, 770 |
3 | 177, 495, 385 |
5 | 59, 165, 385 |
11 | 59, 33, 77 |
59, 3, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 59 x 3 x 7 = 408870
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 354,990,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,990,770) = 2
common factors(in case of two or more numbers have common factors) = 330
GCF(354,990,770) x common factors =2 x 330 = 660
LCM(354,990,770) = ( 354 × 990 × 770 ) / 660
LCM(354,990,770) = 269854200 / 660
LCM(354,990,770) = 408870
Lets's calculate GCF of 67,70,60
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408870/1
Therefore the LCM of Fractions 354/67,990/70,770/60 is 408870
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
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 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Greatest Common Factor
We found the factors 67,70,60 . The biggest common factor number is the GCF number.
So the greatest common factor 67,70,60 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 354/67, 990/70, 770/60?
Answer: LCM of Numerators as per given numbers 354/67, 990/70, 770/60 is
LCM of Numerators i.e. for 354,990,770 is 408870
GCF of denominators i.e. for 67,70,60 is 1.
Thus, LCM of Fractions is 408870.Finally, LCM of Fractions for 354/67, 990/70, 770/60 is 408870.