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LCM of 908, 549, 545, 199, 382

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


Find the LCM of 908, 549, 545, 199, 382 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 908, 549, 545, 199, 382. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 908,549,545,199,382

Given numbers are 908,549,545,199,382

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

The LCM of 908,549,545,199,382 is 10326214423260.

Find LCM of 908,549,545,199,382 with Prime Factorization


2 908, 549, 545, 199, 382
454, 549, 545, 199, 191

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

2 x 454 x 549 x 545 x 199 x 191 = 10326214423260

Therefore, the lowest common multiple of 908,549,545,199,382 is 10326214423260.

LCM Formula to Find Lowest Common Multiple of 908,549,545,199,382

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.

908 x 549 x 545 x 199 x 382 = 20652428846520

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.

908 : 1, 2, 4, 227, 454, 908

549 : 1, 3, 9, 61, 183, 549

545 : 1, 5, 109, 545

199 : 1, 199

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 908,549,545,199,382, is 1.

Now, the common factors can be found like this.

908:2x 2x 227

549:3x 3x 61

545:5x 109

199:199

382:2x 191

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 = 20652428846520/(1x2)

LCM = 20652428846520/2

LCM = 10326214423260

Thus, we can understand that the LCM of 908,549,545,199,382 is 10326214423260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 908, 549, 545, 199, 382

1. What is the LCM of 908, 549, 545, 199, 382?

Answer: LCM of 908, 549, 545, 199, 382 is 10326214423260.

2. How to calculate the LCM of 908, 549, 545, 199, 382?

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 908, 549, 545, 199, 382.

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}.