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LCM of 473, 633, 209, 290

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


Find the LCM of 473, 633, 209, 290 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 473, 633, 209, 290. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,633,209,290

Given numbers are 473,633,209,290

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

The LCM of 473,633,209,290 is 1649743590.

Find LCM of 473,633,209,290 with Prime Factorization


11 473, 633, 209, 290
43, 633, 19, 290

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

11 x 43 x 633 x 19 x 290 = 1649743590

Therefore, the lowest common multiple of 473,633,209,290 is 1649743590.

LCM Formula to Find Lowest Common Multiple of 473,633,209,290

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.

473 x 633 x 209 x 290 = 18147179490

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.

473 : 1, 11, 43, 473

633 : 1, 3, 211, 633

209 : 1, 11, 19, 209

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,633,209,290, is 1.

Now, the common factors can be found like this.

473:11x 43

633:3x 211

209:11x 19

290:2x 5x 29

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

11 = 11

Therefore, the value for common factors is 11.

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 = 18147179490/(1x11)

LCM = 18147179490/11

LCM = 1649743590

Thus, we can understand that the LCM of 473,633,209,290 is 1649743590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 633, 209, 290

1. What is the LCM of 473, 633, 209, 290?

Answer: LCM of 473, 633, 209, 290 is 1649743590.

2. How to calculate the LCM of 473, 633, 209, 290?

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 473, 633, 209, 290.

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}.