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LCM of 198, 312, 506, 832

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


Find the LCM of 198, 312, 506, 832 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 198, 312, 506, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,312,506,832

Given numbers are 198,312,506,832

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

The LCM of 198,312,506,832 is 1894464.

Find LCM of 198,312,506,832 with Prime Factorization


2 198, 312, 506, 832
2 99, 156, 253, 416
2 99, 78, 253, 208
3 99, 39, 253, 104
11 33, 13, 253, 104
13 3, 13, 23, 104
3, 1, 23, 8

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

2 x 2 x 2 x 3 x 11 x 13 x 3 x 1 x 23 x 8 = 1894464

Therefore, the lowest common multiple of 198,312,506,832 is 1894464.

LCM Formula to Find Lowest Common Multiple of 198,312,506,832

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.

198 x 312 x 506 x 832 = 26007201792

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

506 : 1, 2, 11, 22, 23, 46, 253, 506

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,312,506,832, is 2.

Now, the common factors can be found like this.

198:2x 3x 3x 11

312:2x 2x 2x 3x 13

506:2x 11x 23

832:2x 2x 2x 2x 2x 2x 13

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 11x 13 = 6864

Therefore, the value for common factors is 6864.

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 = 26007201792/(2x6864)

LCM = 26007201792/13728

LCM = 1894464

Thus, we can understand that the LCM of 198,312,506,832 is 1894464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 312, 506, 832

1. What is the LCM of 198, 312, 506, 832?

Answer: LCM of 198, 312, 506, 832 is 1894464.

2. How to calculate the LCM of 198, 312, 506, 832?

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 198, 312, 506, 832.

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}.