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LCM of 258, 225, 473, 229

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


Find the LCM of 258, 225, 473, 229 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 258, 225, 473, 229. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 258,225,473,229

Given numbers are 258,225,473,229

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

The LCM of 258,225,473,229 is 48742650.

Find LCM of 258,225,473,229 with Prime Factorization


3 258, 225, 473, 229
43 86, 75, 473, 229
2, 75, 11, 229

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

3 x 43 x 2 x 75 x 11 x 229 = 48742650

Therefore, the lowest common multiple of 258,225,473,229 is 48742650.

LCM Formula to Find Lowest Common Multiple of 258,225,473,229

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.

258 x 225 x 473 x 229 = 6287801850

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

473 : 1, 11, 43, 473

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,225,473,229, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

225:3x 3x 5x 5

473:11x 43

229:229

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

3x 43 = 129

Therefore, the value for common factors is 129.

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 = 6287801850/(1x129)

LCM = 6287801850/129

LCM = 48742650

Thus, we can understand that the LCM of 258,225,473,229 is 48742650.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 258, 225, 473, 229

1. What is the LCM of 258, 225, 473, 229?

Answer: LCM of 258, 225, 473, 229 is 48742650.

2. How to calculate the LCM of 258, 225, 473, 229?

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 258, 225, 473, 229.

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}.