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LCM of 920, 533, 369, 361

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


Find the LCM of 920, 533, 369, 361 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 920, 533, 369, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,533,369,361

Given numbers are 920,533,369,361

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

The LCM of 920,533,369,361 is 1593179640.

Find LCM of 920,533,369,361 with Prime Factorization


41 920, 533, 369, 361
920, 13, 9, 361

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

41 x 920 x 13 x 9 x 361 = 1593179640

Therefore, the lowest common multiple of 920,533,369,361 is 1593179640.

LCM Formula to Find Lowest Common Multiple of 920,533,369,361

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.

920 x 533 x 369 x 361 = 65320365240

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

533 : 1, 13, 41, 533

369 : 1, 3, 9, 41, 123, 369

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,533,369,361, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

533:13x 41

369:3x 3x 41

361:19x 19

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

41 = 41

Therefore, the value for common factors is 41.

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 = 65320365240/(1x41)

LCM = 65320365240/41

LCM = 1593179640

Thus, we can understand that the LCM of 920,533,369,361 is 1593179640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 533, 369, 361

1. What is the LCM of 920, 533, 369, 361?

Answer: LCM of 920, 533, 369, 361 is 1593179640.

2. How to calculate the LCM of 920, 533, 369, 361?

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 920, 533, 369, 361.

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}.