Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/748, 64/560, 22/423 quickly i.e. 2112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/748, 64/560, 22/423 is 2112.
LCM(6/748, 64/560, 22/423) = 2112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/748,64/560,22/423
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 6,64,22
Least Common Multiple of Numerators i.e. LCM of 6,64,22 is 2112.
GCF of Denominators means GCF of 748,560,423 as per the given fractions.
GCF of 748,560,423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,64,22
2 | 6, 64, 22 |
3, 32, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 32 x 11 = 2112
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 6,64,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,64,22) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(6,64,22) x common factors =2 x 2 = 4
LCM(6,64,22) = ( 6 × 64 × 22 ) / 4
LCM(6,64,22) = 8448 / 4
LCM(6,64,22) = 2112
Lets's calculate GCF of 748,560,423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2112/1
Therefore the LCM of Fractions 6/748,64/560,22/423 is 2112
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 748,560,423 . The biggest common factor number is the GCF number.
So the greatest common factor 748,560,423 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 6/748, 64/560, 22/423?
Answer: LCM of Numerators as per given numbers 6/748, 64/560, 22/423 is
LCM of Numerators i.e. for 6,64,22 is 2112
GCF of denominators i.e. for 748,560,423 is 1.
Thus, LCM of Fractions is 2112.Finally, LCM of Fractions for 6/748, 64/560, 22/423 is 2112.