Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/187, 731/907, 672/487 quickly i.e. 93825312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/187, 731/907, 672/487 is 93825312.
LCM(764/187, 731/907, 672/487) = 93825312
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/187,731/907,672/487
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 764,731,672
Least Common Multiple of Numerators i.e. LCM of 764,731,672 is 93825312.
GCF of Denominators means GCF of 187,907,487 as per the given fractions.
GCF of 187,907,487 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,731,672
2 | 764, 731, 672 |
2 | 382, 731, 336 |
191, 731, 168 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 731 x 168 = 93825312
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 764,731,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,731,672) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(764,731,672) x common factors =1 x 4 = 4
LCM(764,731,672) = ( 764 × 731 × 672 ) / 4
LCM(764,731,672) = 375301248 / 4
LCM(764,731,672) = 93825312
Lets's calculate GCF of 187,907,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93825312/1
Therefore the LCM of Fractions 764/187,731/907,672/487 is 93825312
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Greatest Common Factor
We found the factors 187,907,487 . The biggest common factor number is the GCF number.
So the greatest common factor 187,907,487 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 764/187, 731/907, 672/487?
Answer: LCM of Numerators as per given numbers 764/187, 731/907, 672/487 is
LCM of Numerators i.e. for 764,731,672 is 93825312
GCF of denominators i.e. for 187,907,487 is 1.
Thus, LCM of Fractions is 93825312.Finally, LCM of Fractions for 764/187, 731/907, 672/487 is 93825312.