Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/340, 999/293, 656/848 quickly i.e. 22937040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/340, 999/293, 656/848 is 22937040.
LCM(70/340, 999/293, 656/848) = 22937040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/340,999/293,656/848
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 70,999,656
Least Common Multiple of Numerators i.e. LCM of 70,999,656 is 22937040.
GCF of Denominators means GCF of 340,293,848 as per the given fractions.
GCF of 340,293,848 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,999,656
2 | 70, 999, 656 |
35, 999, 328 |
∴ So the LCM of the given numbers is 2 x 35 x 999 x 328 = 22937040
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 70,999,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,999,656) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(70,999,656) x common factors =1 x 2 = 2
LCM(70,999,656) = ( 70 × 999 × 656 ) / 2
LCM(70,999,656) = 45874080 / 2
LCM(70,999,656) = 22937040
Lets's calculate GCF of 340,293,848
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22937040/1
Therefore the LCM of Fractions 70/340,999/293,656/848 is 22937040
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Greatest Common Factor
We found the factors 340,293,848 . The biggest common factor number is the GCF number.
So the greatest common factor 340,293,848 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 70/340, 999/293, 656/848?
Answer: LCM of Numerators as per given numbers 70/340, 999/293, 656/848 is
LCM of Numerators i.e. for 70,999,656 is 22937040
GCF of denominators i.e. for 340,293,848 is 1.
Thus, LCM of Fractions is 22937040.Finally, LCM of Fractions for 70/340, 999/293, 656/848 is 22937040.