Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/837, 880/874, 861/417 quickly i.e. 17426640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/837, 880/874, 861/417 is 17426640.
LCM(46/837, 880/874, 861/417) = 17426640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/837,880/874,861/417
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 46,880,861
Least Common Multiple of Numerators i.e. LCM of 46,880,861 is 17426640.
GCF of Denominators means GCF of 837,874,417 as per the given fractions.
GCF of 837,874,417 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,880,861
2 | 46, 880, 861 |
23, 440, 861 |
∴ So the LCM of the given numbers is 2 x 23 x 440 x 861 = 17426640
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 46,880,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,880,861) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,880,861) x common factors =1 x 2 = 2
LCM(46,880,861) = ( 46 × 880 × 861 ) / 2
LCM(46,880,861) = 34853280 / 2
LCM(46,880,861) = 17426640
Lets's calculate GCF of 837,874,417
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17426640/1
Therefore the LCM of Fractions 46/837,880/874,861/417 is 17426640
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 417
List of positive integer factors of 417 that divides 417 without a remainder.
1,3,139,417
Greatest Common Factor
We found the factors 837,874,417 . The biggest common factor number is the GCF number.
So the greatest common factor 837,874,417 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 46/837, 880/874, 861/417?
Answer: LCM of Numerators as per given numbers 46/837, 880/874, 861/417 is
LCM of Numerators i.e. for 46,880,861 is 17426640
GCF of denominators i.e. for 837,874,417 is 1.
Thus, LCM of Fractions is 17426640.Finally, LCM of Fractions for 46/837, 880/874, 861/417 is 17426640.