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LCM of 328, 894, 286, 377

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


Find the LCM of 328, 894, 286, 377 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 328, 894, 286, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 328,894,286,377

Given numbers are 328,894,286,377

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

The LCM of 328,894,286,377 is 608016552.

Find LCM of 328,894,286,377 with Prime Factorization


2 328, 894, 286, 377
13 164, 447, 143, 377
164, 447, 11, 29

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

2 x 13 x 164 x 447 x 11 x 29 = 608016552

Therefore, the lowest common multiple of 328,894,286,377 is 608016552.

LCM Formula to Find Lowest Common Multiple of 328,894,286,377

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.

328 x 894 x 286 x 377 = 31616860704

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,894,286,377, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

894:2x 3x 149

286:2x 11x 13

377:13x 29

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 13 = 52

Therefore, the value for common factors is 52.

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 = 31616860704/(1x52)

LCM = 31616860704/52

LCM = 608016552

Thus, we can understand that the LCM of 328,894,286,377 is 608016552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 328, 894, 286, 377

1. What is the LCM of 328, 894, 286, 377?

Answer: LCM of 328, 894, 286, 377 is 608016552.

2. How to calculate the LCM of 328, 894, 286, 377?

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 328, 894, 286, 377.

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}.