Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 710/705, 7098/458 quickly i.e. 2519790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 710/705, 7098/458 is 2519790.
LCM(710/705, 7098/458) = 2519790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 710/705,7098/458
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 710,7098
Least Common Multiple of Numerators i.e. LCM of 710,7098 is 2519790.
GCF of Denominators means GCF of 705,458 as per the given fractions.
GCF of 705,458 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 710,7098
2 | 710, 7098 |
355, 3549 |
∴ So the LCM of the given numbers is 2 x 355 x 3549 = 2519790
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 710,7098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,7098) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(710,7098) x common factors =2 x 1 = 2
LCM(710,7098) = ( 710 × 7098 ) / 2
LCM(710,7098) = 5039580 / 2
LCM(710,7098) = 2519790
Lets's calculate GCF of 705,458
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2519790/1
Therefore the LCM of Fractions 710/705,7098/458 is 2519790
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Greatest Common Factor
We found the factors 705,458 . The biggest common factor number is the GCF number.
So the greatest common factor 705,458 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 710/705, 7098/458?
Answer: LCM of Numerators as per given numbers 710/705, 7098/458 is
LCM of Numerators i.e. for 710,7098 is 2519790
GCF of denominators i.e. for 705,458 is 1.
Thus, LCM of Fractions is 2519790.Finally, LCM of Fractions for 710/705, 7098/458 is 2519790.