Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/870, 68/917, 376/293 quickly i.e. 274856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/870, 68/917, 376/293 is 274856.
LCM(43/870, 68/917, 376/293) = 274856
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/870,68/917,376/293
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 43,68,376
Least Common Multiple of Numerators i.e. LCM of 43,68,376 is 274856.
GCF of Denominators means GCF of 870,917,293 as per the given fractions.
GCF of 870,917,293 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,68,376
2 | 43, 68, 376 |
2 | 43, 34, 188 |
43, 17, 94 |
∴ So the LCM of the given numbers is 2 x 2 x 43 x 17 x 94 = 274856
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 43,68,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,68,376) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(43,68,376) x common factors =1 x 4 = 4
LCM(43,68,376) = ( 43 × 68 × 376 ) / 4
LCM(43,68,376) = 1099424 / 4
LCM(43,68,376) = 274856
Lets's calculate GCF of 870,917,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274856/1
Therefore the LCM of Fractions 43/870,68/917,376/293 is 274856
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 870,917,293 . The biggest common factor number is the GCF number.
So the greatest common factor 870,917,293 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 43/870, 68/917, 376/293?
Answer: LCM of Numerators as per given numbers 43/870, 68/917, 376/293 is
LCM of Numerators i.e. for 43,68,376 is 274856
GCF of denominators i.e. for 870,917,293 is 1.
Thus, LCM of Fractions is 274856.Finally, LCM of Fractions for 43/870, 68/917, 376/293 is 274856.