Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/456, 98/380, 675/601 quickly i.e. 2249100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/456, 98/380, 675/601 is 2249100.
LCM(68/456, 98/380, 675/601) = 2249100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/456,98/380,675/601
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 68,98,675
Least Common Multiple of Numerators i.e. LCM of 68,98,675 is 2249100.
GCF of Denominators means GCF of 456,380,601 as per the given fractions.
GCF of 456,380,601 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,98,675
2 | 68, 98, 675 |
34, 49, 675 |
∴ So the LCM of the given numbers is 2 x 34 x 49 x 675 = 2249100
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 68,98,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,98,675) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(68,98,675) x common factors =1 x 2 = 2
LCM(68,98,675) = ( 68 × 98 × 675 ) / 2
LCM(68,98,675) = 4498200 / 2
LCM(68,98,675) = 2249100
Lets's calculate GCF of 456,380,601
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2249100/1
Therefore the LCM of Fractions 68/456,98/380,675/601 is 2249100
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Greatest Common Factor
We found the factors 456,380,601 . The biggest common factor number is the GCF number.
So the greatest common factor 456,380,601 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 68/456, 98/380, 675/601?
Answer: LCM of Numerators as per given numbers 68/456, 98/380, 675/601 is
LCM of Numerators i.e. for 68,98,675 is 2249100
GCF of denominators i.e. for 456,380,601 is 1.
Thus, LCM of Fractions is 2249100.Finally, LCM of Fractions for 68/456, 98/380, 675/601 is 2249100.