Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 759/276, 507/710, 419/712 quickly i.e. 53745549/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 759/276, 507/710, 419/712 is 53745549/2.
LCM(759/276, 507/710, 419/712) = 53745549/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 759/276,507/710,419/712
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 759,507,419
Least Common Multiple of Numerators i.e. LCM of 759,507,419 is 53745549.
GCF of Denominators means GCF of 276,710,712 as per the given fractions.
GCF of 276,710,712 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 759,507,419
3 | 759, 507, 419 |
253, 169, 419 |
∴ So the LCM of the given numbers is 3 x 253 x 169 x 419 = 53745549
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 759,507,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,507,419) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(759,507,419) x common factors =1 x 3 = 3
LCM(759,507,419) = ( 759 × 507 × 419 ) / 3
LCM(759,507,419) = 161236647 / 3
LCM(759,507,419) = 53745549
Lets's calculate GCF of 276,710,712
2 | 276, 710, 712 |
138, 355, 356 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53745549/2
Therefore the LCM of Fractions 759/276,507/710,419/712 is 53745549/2
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 276,710,712 . The biggest common factor number is the GCF number.
So the greatest common factor 276,710,712 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 759/276, 507/710, 419/712?
Answer: LCM of Numerators as per given numbers 759/276, 507/710, 419/712 is
LCM of Numerators i.e. for 759,507,419 is 53745549
GCF of denominators i.e. for 276,710,712 is 2.
Thus, LCM of Fractions is 53745549/2.Finally, LCM of Fractions for 759/276, 507/710, 419/712 is 53745549/2.