Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/35, 68/760, 438/662 quickly i.e. 223380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/35, 68/760, 438/662 is 223380.
LCM(45/35, 68/760, 438/662) = 223380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/35,68/760,438/662
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 45,68,438
Least Common Multiple of Numerators i.e. LCM of 45,68,438 is 223380.
GCF of Denominators means GCF of 35,760,662 as per the given fractions.
GCF of 35,760,662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,68,438
2 | 45, 68, 438 |
3 | 45, 34, 219 |
15, 34, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 34 x 73 = 223380
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 45,68,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,68,438) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(45,68,438) x common factors =1 x 6 = 6
LCM(45,68,438) = ( 45 × 68 × 438 ) / 6
LCM(45,68,438) = 1340280 / 6
LCM(45,68,438) = 223380
Lets's calculate GCF of 35,760,662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223380/1
Therefore the LCM of Fractions 45/35,68/760,438/662 is 223380
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Greatest Common Factor
We found the factors 35,760,662 . The biggest common factor number is the GCF number.
So the greatest common factor 35,760,662 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 45/35, 68/760, 438/662?
Answer: LCM of Numerators as per given numbers 45/35, 68/760, 438/662 is
LCM of Numerators i.e. for 45,68,438 is 223380
GCF of denominators i.e. for 35,760,662 is 1.
Thus, LCM of Fractions is 223380.Finally, LCM of Fractions for 45/35, 68/760, 438/662 is 223380.