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LCM of 919, 298, 328, 813

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


Find the LCM of 919, 298, 328, 813 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 919, 298, 328, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 919,298,328,813

Given numbers are 919,298,328,813

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

The LCM of 919,298,328,813 is 36514568184.

Find LCM of 919,298,328,813 with Prime Factorization


2 919, 298, 328, 813
919, 149, 164, 813

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

2 x 919 x 149 x 164 x 813 = 36514568184

Therefore, the lowest common multiple of 919,298,328,813 is 36514568184.

LCM Formula to Find Lowest Common Multiple of 919,298,328,813

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.

919 x 298 x 328 x 813 = 73029136368

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.

919 : 1, 919

298 : 1, 2, 149, 298

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

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,298,328,813, is 1.

Now, the common factors can be found like this.

919:919

298:2x 149

328:2x 2x 2x 41

813:3x 271

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 = 73029136368/(1x2)

LCM = 73029136368/2

LCM = 36514568184

Thus, we can understand that the LCM of 919,298,328,813 is 36514568184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 919, 298, 328, 813

1. What is the LCM of 919, 298, 328, 813?

Answer: LCM of 919, 298, 328, 813 is 36514568184.

2. How to calculate the LCM of 919, 298, 328, 813?

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 919, 298, 328, 813.

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}.