Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/346, 340/167, 879/795 quickly i.e. 2092020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/346, 340/167, 879/795 is 2092020.
LCM(42/346, 340/167, 879/795) = 2092020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/346,340/167,879/795
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 42,340,879
Least Common Multiple of Numerators i.e. LCM of 42,340,879 is 2092020.
GCF of Denominators means GCF of 346,167,795 as per the given fractions.
GCF of 346,167,795 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,340,879
2 | 42, 340, 879 |
3 | 21, 170, 879 |
7, 170, 293 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 170 x 293 = 2092020
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 42,340,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,340,879) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(42,340,879) x common factors =1 x 6 = 6
LCM(42,340,879) = ( 42 × 340 × 879 ) / 6
LCM(42,340,879) = 12552120 / 6
LCM(42,340,879) = 2092020
Lets's calculate GCF of 346,167,795
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2092020/1
Therefore the LCM of Fractions 42/346,340/167,879/795 is 2092020
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 346,167,795 . The biggest common factor number is the GCF number.
So the greatest common factor 346,167,795 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 42/346, 340/167, 879/795?
Answer: LCM of Numerators as per given numbers 42/346, 340/167, 879/795 is
LCM of Numerators i.e. for 42,340,879 is 2092020
GCF of denominators i.e. for 346,167,795 is 1.
Thus, LCM of Fractions is 2092020.Finally, LCM of Fractions for 42/346, 340/167, 879/795 is 2092020.