Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/669, 830/433, 968/890 quickly i.e. 9239560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/669, 830/433, 968/890 is 9239560.
LCM(46/669, 830/433, 968/890) = 9239560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/669,830/433,968/890
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 46,830,968
Least Common Multiple of Numerators i.e. LCM of 46,830,968 is 9239560.
GCF of Denominators means GCF of 669,433,890 as per the given fractions.
GCF of 669,433,890 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,830,968
2 | 46, 830, 968 |
23, 415, 484 |
∴ So the LCM of the given numbers is 2 x 23 x 415 x 484 = 9239560
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 46,830,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,830,968) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(46,830,968) x common factors =2 x 2 = 4
LCM(46,830,968) = ( 46 × 830 × 968 ) / 4
LCM(46,830,968) = 36958240 / 4
LCM(46,830,968) = 9239560
Lets's calculate GCF of 669,433,890
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9239560/1
Therefore the LCM of Fractions 46/669,830/433,968/890 is 9239560
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 890
List of positive integer factors of 890 that divides 890 without a remainder.
1,2,5,10,89,178,445,890
Greatest Common Factor
We found the factors 669,433,890 . The biggest common factor number is the GCF number.
So the greatest common factor 669,433,890 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 46/669, 830/433, 968/890?
Answer: LCM of Numerators as per given numbers 46/669, 830/433, 968/890 is
LCM of Numerators i.e. for 46,830,968 is 9239560
GCF of denominators i.e. for 669,433,890 is 1.
Thus, LCM of Fractions is 9239560.Finally, LCM of Fractions for 46/669, 830/433, 968/890 is 9239560.