Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/736, 21/840, 115/655 quickly i.e. 7245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/736, 21/840, 115/655 is 7245.
LCM(63/736, 21/840, 115/655) = 7245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/736,21/840,115/655
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 63,21,115
Least Common Multiple of Numerators i.e. LCM of 63,21,115 is 7245.
GCF of Denominators means GCF of 736,840,655 as per the given fractions.
GCF of 736,840,655 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,21,115
3 | 63, 21, 115 |
7 | 21, 7, 115 |
3, 1, 115 |
∴ So the LCM of the given numbers is 3 x 7 x 3 x 1 x 115 = 7245
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 63,21,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,21,115) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(63,21,115) x common factors =1 x 21 = 21
LCM(63,21,115) = ( 63 × 21 × 115 ) / 21
LCM(63,21,115) = 152145 / 21
LCM(63,21,115) = 7245
Lets's calculate GCF of 736,840,655
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7245/1
Therefore the LCM of Fractions 63/736,21/840,115/655 is 7245
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Greatest Common Factor
We found the factors 736,840,655 . The biggest common factor number is the GCF number.
So the greatest common factor 736,840,655 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 63/736, 21/840, 115/655?
Answer: LCM of Numerators as per given numbers 63/736, 21/840, 115/655 is
LCM of Numerators i.e. for 63,21,115 is 7245
GCF of denominators i.e. for 736,840,655 is 1.
Thus, LCM of Fractions is 7245.Finally, LCM of Fractions for 63/736, 21/840, 115/655 is 7245.