Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/12, 926/70, 977/654 quickly i.e. 14475232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/12, 926/70, 977/654 is 14475232.
LCM(64/12, 926/70, 977/654) = 14475232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/12,926/70,977/654
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 64,926,977
Least Common Multiple of Numerators i.e. LCM of 64,926,977 is 28950464.
GCF of Denominators means GCF of 12,70,654 as per the given fractions.
GCF of 12,70,654 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,926,977
2 | 64, 926, 977 |
32, 463, 977 |
∴ So the LCM of the given numbers is 2 x 32 x 463 x 977 = 28950464
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 64,926,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,926,977) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(64,926,977) x common factors =1 x 2 = 2
LCM(64,926,977) = ( 64 × 926 × 977 ) / 2
LCM(64,926,977) = 57900928 / 2
LCM(64,926,977) = 28950464
Lets's calculate GCF of 12,70,654
2 | 12, 70, 654 |
6, 35, 327 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28950464/2
Therefore the LCM of Fractions 64/12,926/70,977/654 is 14475232
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 12,70,654 . The biggest common factor number is the GCF number.
So the greatest common factor 12,70,654 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 64/12, 926/70, 977/654?
Answer: LCM of Numerators as per given numbers 64/12, 926/70, 977/654 is
LCM of Numerators i.e. for 64,926,977 is 28950464
GCF of denominators i.e. for 12,70,654 is 2.
Thus, LCM of Fractions is 14475232.Finally, LCM of Fractions for 64/12, 926/70, 977/654 is 14475232.