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LCM of 633, 184, 894, 426

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


Find the LCM of 633, 184, 894, 426 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 633, 184, 894, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,184,894,426

Given numbers are 633,184,894,426

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

The LCM of 633,184,894,426 is 1232157288.

Find LCM of 633,184,894,426 with Prime Factorization


2 633, 184, 894, 426
3 633, 92, 447, 213
211, 92, 149, 71

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

2 x 3 x 211 x 92 x 149 x 71 = 1232157288

Therefore, the lowest common multiple of 633,184,894,426 is 1232157288.

LCM Formula to Find Lowest Common Multiple of 633,184,894,426

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.

633 x 184 x 894 x 426 = 44357662368

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.

633 : 1, 3, 211, 633

184 : 1, 2, 4, 8, 23, 46, 92, 184

894 : 1, 2, 3, 6, 149, 298, 447, 894

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,184,894,426, is 1.

Now, the common factors can be found like this.

633:3x 211

184:2x 2x 2x 23

894:2x 3x 149

426:2x 3x 71

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 44357662368/(1x36)

LCM = 44357662368/36

LCM = 1232157288

Thus, we can understand that the LCM of 633,184,894,426 is 1232157288.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 184, 894, 426

1. What is the LCM of 633, 184, 894, 426?

Answer: LCM of 633, 184, 894, 426 is 1232157288.

2. How to calculate the LCM of 633, 184, 894, 426?

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 633, 184, 894, 426.

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}.