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LCM of 915, 229, 731, 731, 298

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


Find the LCM of 915, 229, 731, 731, 298 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 915, 229, 731, 731, 298. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 915,229,731,731,298

Given numbers are 915,229,731,731,298

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

The LCM of 915,229,731,731,298 is 45644685330.

Find LCM of 915,229,731,731,298 with Prime Factorization


17 915, 229, 731, 731, 298
43 915, 229, 43, 43, 298
915, 229, 1, 1, 298

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

17 x 43 x 915 x 229 x 1 x 1 x 298 = 45644685330

Therefore, the lowest common multiple of 915,229,731,731,298 is 45644685330.

LCM Formula to Find Lowest Common Multiple of 915,229,731,731,298

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.

915 x 229 x 731 x 731 x 298 = 33366264976230

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.

915 : 1, 3, 5, 15, 61, 183, 305, 915

229 : 1, 229

731 : 1, 17, 43, 731

731 : 1, 17, 43, 731

298 : 1, 2, 149, 298

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,229,731,731,298, is 1.

Now, the common factors can be found like this.

915:3x 5x 61

229:229

731:17x 43

731:17x 43

298:2x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17x 43 = 731

Therefore, the value for common factors is 731.

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 = 33366264976230/(1x731)

LCM = 33366264976230/731

LCM = 45644685330

Thus, we can understand that the LCM of 915,229,731,731,298 is 45644685330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 915, 229, 731, 731, 298

1. What is the LCM of 915, 229, 731, 731, 298?

Answer: LCM of 915, 229, 731, 731, 298 is 45644685330.

2. How to calculate the LCM of 915, 229, 731, 731, 298?

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 915, 229, 731, 731, 298.

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}.