Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/680, 84/767, 672/411 quickly i.e. 45024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/680, 84/767, 672/411 is 45024.
LCM(67/680, 84/767, 672/411) = 45024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/680,84/767,672/411
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 67,84,672
Least Common Multiple of Numerators i.e. LCM of 67,84,672 is 45024.
GCF of Denominators means GCF of 680,767,411 as per the given fractions.
GCF of 680,767,411 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,84,672
2 | 67, 84, 672 |
2 | 67, 42, 336 |
3 | 67, 21, 168 |
7 | 67, 7, 56 |
67, 1, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 67 x 1 x 8 = 45024
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 67,84,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,84,672) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(67,84,672) x common factors =1 x 84 = 84
LCM(67,84,672) = ( 67 × 84 × 672 ) / 84
LCM(67,84,672) = 3782016 / 84
LCM(67,84,672) = 45024
Lets's calculate GCF of 680,767,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45024/1
Therefore the LCM of Fractions 67/680,84/767,672/411 is 45024
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 680,767,411 . The biggest common factor number is the GCF number.
So the greatest common factor 680,767,411 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 67/680, 84/767, 672/411?
Answer: LCM of Numerators as per given numbers 67/680, 84/767, 672/411 is
LCM of Numerators i.e. for 67,84,672 is 45024
GCF of denominators i.e. for 680,767,411 is 1.
Thus, LCM of Fractions is 45024.Finally, LCM of Fractions for 67/680, 84/767, 672/411 is 45024.