Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/278, 34/508, 652/360 quickly i.e. 27710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/278, 34/508, 652/360 is 27710.
LCM(20/278, 34/508, 652/360) = 27710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/278,34/508,652/360
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 20,34,652
Least Common Multiple of Numerators i.e. LCM of 20,34,652 is 55420.
GCF of Denominators means GCF of 278,508,360 as per the given fractions.
GCF of 278,508,360 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,34,652
2 | 20, 34, 652 |
2 | 10, 17, 326 |
5, 17, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 163 = 55420
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 20,34,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,34,652) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(20,34,652) x common factors =2 x 4 = 8
LCM(20,34,652) = ( 20 × 34 × 652 ) / 8
LCM(20,34,652) = 443360 / 8
LCM(20,34,652) = 55420
Lets's calculate GCF of 278,508,360
2 | 278, 508, 360 |
139, 254, 180 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55420/2
Therefore the LCM of Fractions 20/278,34/508,652/360 is 27710
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 278,508,360 . The biggest common factor number is the GCF number.
So the greatest common factor 278,508,360 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 20/278, 34/508, 652/360?
Answer: LCM of Numerators as per given numbers 20/278, 34/508, 652/360 is
LCM of Numerators i.e. for 20,34,652 is 55420
GCF of denominators i.e. for 278,508,360 is 2.
Thus, LCM of Fractions is 27710.Finally, LCM of Fractions for 20/278, 34/508, 652/360 is 27710.