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LCM of 536, 640, 306, 201, 193

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


Find the LCM of 536, 640, 306, 201, 193 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 536, 640, 306, 201, 193. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 536,640,306,201,193

Given numbers are 536,640,306,201,193

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

The LCM of 536,640,306,201,193 is 1266203520.

Find LCM of 536,640,306,201,193 with Prime Factorization


2 536, 640, 306, 201, 193
2 268, 320, 153, 201, 193
2 134, 160, 153, 201, 193
3 67, 80, 153, 201, 193
67 67, 80, 51, 67, 193
1, 80, 51, 1, 193

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

2 x 2 x 2 x 3 x 67 x 1 x 80 x 51 x 1 x 193 = 1266203520

Therefore, the lowest common multiple of 536,640,306,201,193 is 1266203520.

LCM Formula to Find Lowest Common Multiple of 536,640,306,201,193

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.

536 x 640 x 306 x 201 x 193 = 4072110520320

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.

536 : 1, 2, 4, 8, 67, 134, 268, 536

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

201 : 1, 3, 67, 201

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,640,306,201,193, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

640:2x 2x 2x 2x 2x 2x 2x 5

306:2x 3x 3x 17

201:3x 67

193:193

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

2x 2x 2x 2x 3x 67 = 3216

Therefore, the value for common factors is 3216.

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 = 4072110520320/(1x3216)

LCM = 4072110520320/3216

LCM = 1266203520

Thus, we can understand that the LCM of 536,640,306,201,193 is 1266203520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 536, 640, 306, 201, 193

1. What is the LCM of 536, 640, 306, 201, 193?

Answer: LCM of 536, 640, 306, 201, 193 is 1266203520.

2. How to calculate the LCM of 536, 640, 306, 201, 193?

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 536, 640, 306, 201, 193.

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}.