Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/70, 66/894, 49/320 quickly i.e. 4851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/70, 66/894, 49/320 is 4851.
LCM(9/70, 66/894, 49/320) = 4851
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/70,66/894,49/320
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 9,66,49
Least Common Multiple of Numerators i.e. LCM of 9,66,49 is 9702.
GCF of Denominators means GCF of 70,894,320 as per the given fractions.
GCF of 70,894,320 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,66,49
3 | 9, 66, 49 |
3, 22, 49 |
∴ So the LCM of the given numbers is 3 x 3 x 22 x 49 = 9702
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 9,66,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,66,49) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(9,66,49) x common factors =1 x 3 = 3
LCM(9,66,49) = ( 9 × 66 × 49 ) / 3
LCM(9,66,49) = 29106 / 3
LCM(9,66,49) = 9702
Lets's calculate GCF of 70,894,320
2 | 70, 894, 320 |
35, 447, 160 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9702/2
Therefore the LCM of Fractions 9/70,66/894,49/320 is 4851
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 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Greatest Common Factor
We found the factors 70,894,320 . The biggest common factor number is the GCF number.
So the greatest common factor 70,894,320 is 2.
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 9/70, 66/894, 49/320?
Answer: LCM of Numerators as per given numbers 9/70, 66/894, 49/320 is
LCM of Numerators i.e. for 9,66,49 is 9702
GCF of denominators i.e. for 70,894,320 is 2.
Thus, LCM of Fractions is 4851.Finally, LCM of Fractions for 9/70, 66/894, 49/320 is 4851.