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LCM of 524, 315, 134, 163

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 524, 315, 134, 163 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 524, 315, 134, 163. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,315,134,163

Given numbers are 524,315,134,163

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 524,315,134,163 is 1802620260.

Find LCM of 524,315,134,163 with Prime Factorization


2 524, 315, 134, 163
262, 315, 67, 163

Multiply the prime numbers at the bottom and the left side.

2 x 262 x 315 x 67 x 163 = 1802620260

Therefore, the lowest common multiple of 524,315,134,163 is 1802620260.

LCM Formula to Find Lowest Common Multiple of 524,315,134,163

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

524 x 315 x 134 x 163 = 3605240520

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

524 : 1, 2, 4, 131, 262, 524

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

134 : 1, 2, 67, 134

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,315,134,163, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

315:3x 3x 5x 7

134:2x 67

163:163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3605240520/(1x2)

LCM = 3605240520/2

LCM = 1802620260

Thus, we can understand that the LCM of 524,315,134,163 is 1802620260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 315, 134, 163

1. What is the LCM of 524, 315, 134, 163?

Answer: LCM of 524, 315, 134, 163 is 1802620260.

2. How to calculate the LCM of 524, 315, 134, 163?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 524, 315, 134, 163.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.