Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 869/645, 678/362, 348/140 quickly i.e. 34172556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 869/645, 678/362, 348/140 is 34172556.
LCM(869/645, 678/362, 348/140) = 34172556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 869/645,678/362,348/140
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 869,678,348
Least Common Multiple of Numerators i.e. LCM of 869,678,348 is 34172556.
GCF of Denominators means GCF of 645,362,140 as per the given fractions.
GCF of 645,362,140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 869,678,348
2 | 869, 678, 348 |
3 | 869, 339, 174 |
869, 113, 58 |
∴ So the LCM of the given numbers is 2 x 3 x 869 x 113 x 58 = 34172556
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 869,678,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,678,348) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(869,678,348) x common factors =1 x 6 = 6
LCM(869,678,348) = ( 869 × 678 × 348 ) / 6
LCM(869,678,348) = 205035336 / 6
LCM(869,678,348) = 34172556
Lets's calculate GCF of 645,362,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34172556/1
Therefore the LCM of Fractions 869/645,678/362,348/140 is 34172556
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 645,362,140 . The biggest common factor number is the GCF number.
So the greatest common factor 645,362,140 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 869/645, 678/362, 348/140?
Answer: LCM of Numerators as per given numbers 869/645, 678/362, 348/140 is
LCM of Numerators i.e. for 869,678,348 is 34172556
GCF of denominators i.e. for 645,362,140 is 1.
Thus, LCM of Fractions is 34172556.Finally, LCM of Fractions for 869/645, 678/362, 348/140 is 34172556.