Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/530, 686/287, 622/879 quickly i.e. 1066730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/530, 686/287, 622/879 is 1066730.
LCM(70/530, 686/287, 622/879) = 1066730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/530,686/287,622/879
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 70,686,622
Least Common Multiple of Numerators i.e. LCM of 70,686,622 is 1066730.
GCF of Denominators means GCF of 530,287,879 as per the given fractions.
GCF of 530,287,879 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,686,622
2 | 70, 686, 622 |
7 | 35, 343, 311 |
5, 49, 311 |
∴ So the LCM of the given numbers is 2 x 7 x 5 x 49 x 311 = 1066730
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 70,686,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,686,622) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(70,686,622) x common factors =2 x 14 = 28
LCM(70,686,622) = ( 70 × 686 × 622 ) / 28
LCM(70,686,622) = 29868440 / 28
LCM(70,686,622) = 1066730
Lets's calculate GCF of 530,287,879
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1066730/1
Therefore the LCM of Fractions 70/530,686/287,622/879 is 1066730
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Greatest Common Factor
We found the factors 530,287,879 . The biggest common factor number is the GCF number.
So the greatest common factor 530,287,879 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 70/530, 686/287, 622/879?
Answer: LCM of Numerators as per given numbers 70/530, 686/287, 622/879 is
LCM of Numerators i.e. for 70,686,622 is 1066730
GCF of denominators i.e. for 530,287,879 is 1.
Thus, LCM of Fractions is 1066730.Finally, LCM of Fractions for 70/530, 686/287, 622/879 is 1066730.