Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/974, 27/632, 217/472 quickly i.e. 187488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/974, 27/632, 217/472 is 187488.
LCM(64/974, 27/632, 217/472) = 187488
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/974,27/632,217/472
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 64,27,217
Least Common Multiple of Numerators i.e. LCM of 64,27,217 is 374976.
GCF of Denominators means GCF of 974,632,472 as per the given fractions.
GCF of 974,632,472 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,27,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 374976
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 64,27,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,27,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,27,217) x common factors =1 x 1 = 1
LCM(64,27,217) = ( 64 × 27 × 217 ) / 1
LCM(64,27,217) = 374976 / 1
LCM(64,27,217) = 374976
Lets's calculate GCF of 974,632,472
2 | 974, 632, 472 |
487, 316, 236 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374976/2
Therefore the LCM of Fractions 64/974,27/632,217/472 is 187488
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 632
List of positive integer factors of 632 that divides 632 without a remainder.
1,2,4,8,79,158,316,632
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 974,632,472 . The biggest common factor number is the GCF number.
So the greatest common factor 974,632,472 is 2.
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 64/974, 27/632, 217/472?
Answer: LCM of Numerators as per given numbers 64/974, 27/632, 217/472 is
LCM of Numerators i.e. for 64,27,217 is 374976
GCF of denominators i.e. for 974,632,472 is 2.
Thus, LCM of Fractions is 187488.Finally, LCM of Fractions for 64/974, 27/632, 217/472 is 187488.