Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 360/536, 620/245, 705/609 quickly i.e. 524520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 360/536, 620/245, 705/609 is 524520.
LCM(360/536, 620/245, 705/609) = 524520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 360/536,620/245,705/609
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 360,620,705
Least Common Multiple of Numerators i.e. LCM of 360,620,705 is 524520.
GCF of Denominators means GCF of 536,245,609 as per the given fractions.
GCF of 536,245,609 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 360,620,705
2 | 360, 620, 705 |
2 | 180, 310, 705 |
3 | 90, 155, 705 |
5 | 30, 155, 235 |
6, 31, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 6 x 31 x 47 = 524520
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 360,620,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,620,705) = 5
common factors(in case of two or more numbers have common factors) = 60
GCF(360,620,705) x common factors =5 x 60 = 300
LCM(360,620,705) = ( 360 × 620 × 705 ) / 300
LCM(360,620,705) = 157356000 / 300
LCM(360,620,705) = 524520
Lets's calculate GCF of 536,245,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 524520/1
Therefore the LCM of Fractions 360/536,620/245,705/609 is 524520
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 536,245,609 . The biggest common factor number is the GCF number.
So the greatest common factor 536,245,609 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 360/536, 620/245, 705/609?
Answer: LCM of Numerators as per given numbers 360/536, 620/245, 705/609 is
LCM of Numerators i.e. for 360,620,705 is 524520
GCF of denominators i.e. for 536,245,609 is 1.
Thus, LCM of Fractions is 524520.Finally, LCM of Fractions for 360/536, 620/245, 705/609 is 524520.