Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/530, 34/486, 687/526 quickly i.e. 140148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/530, 34/486, 687/526 is 140148.
LCM(72/530, 34/486, 687/526) = 140148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/530,34/486,687/526
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 72,34,687
Least Common Multiple of Numerators i.e. LCM of 72,34,687 is 280296.
GCF of Denominators means GCF of 530,486,526 as per the given fractions.
GCF of 530,486,526 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,34,687
2 | 72, 34, 687 |
3 | 36, 17, 687 |
12, 17, 229 |
∴ So the LCM of the given numbers is 2 x 3 x 12 x 17 x 229 = 280296
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 72,34,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,34,687) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(72,34,687) x common factors =1 x 6 = 6
LCM(72,34,687) = ( 72 × 34 × 687 ) / 6
LCM(72,34,687) = 1681776 / 6
LCM(72,34,687) = 280296
Lets's calculate GCF of 530,486,526
2 | 530, 486, 526 |
265, 243, 263 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280296/2
Therefore the LCM of Fractions 72/530,34/486,687/526 is 140148
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 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 530,486,526 . The biggest common factor number is the GCF number.
So the greatest common factor 530,486,526 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 72/530, 34/486, 687/526?
Answer: LCM of Numerators as per given numbers 72/530, 34/486, 687/526 is
LCM of Numerators i.e. for 72,34,687 is 280296
GCF of denominators i.e. for 530,486,526 is 2.
Thus, LCM of Fractions is 140148.Finally, LCM of Fractions for 72/530, 34/486, 687/526 is 140148.