Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/764, 956/678, 186/701 quickly i.e. 4712124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/764, 956/678, 186/701 is 4712124.
LCM(53/764, 956/678, 186/701) = 4712124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/764,956/678,186/701
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 53,956,186
Least Common Multiple of Numerators i.e. LCM of 53,956,186 is 4712124.
GCF of Denominators means GCF of 764,678,701 as per the given fractions.
GCF of 764,678,701 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,956,186
2 | 53, 956, 186 |
53, 478, 93 |
∴ So the LCM of the given numbers is 2 x 53 x 478 x 93 = 4712124
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 53,956,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,956,186) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,956,186) x common factors =1 x 2 = 2
LCM(53,956,186) = ( 53 × 956 × 186 ) / 2
LCM(53,956,186) = 9424248 / 2
LCM(53,956,186) = 4712124
Lets's calculate GCF of 764,678,701
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4712124/1
Therefore the LCM of Fractions 53/764,956/678,186/701 is 4712124
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Greatest Common Factor
We found the factors 764,678,701 . The biggest common factor number is the GCF number.
So the greatest common factor 764,678,701 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 53/764, 956/678, 186/701?
Answer: LCM of Numerators as per given numbers 53/764, 956/678, 186/701 is
LCM of Numerators i.e. for 53,956,186 is 4712124
GCF of denominators i.e. for 764,678,701 is 1.
Thus, LCM of Fractions is 4712124.Finally, LCM of Fractions for 53/764, 956/678, 186/701 is 4712124.