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LCM of 790, 886, 473, 567, 225

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


Find the LCM of 790, 886, 473, 567, 225 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 790, 886, 473, 567, 225. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 790,886,473,567,225

Given numbers are 790,886,473,567,225

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

The LCM of 790,886,473,567,225 is 469294021350.

Find LCM of 790,886,473,567,225 with Prime Factorization


2 790, 886, 473, 567, 225
3 395, 443, 473, 567, 225
3 395, 443, 473, 189, 75
5 395, 443, 473, 63, 25
79, 443, 473, 63, 5

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

2 x 3 x 3 x 5 x 79 x 443 x 473 x 63 x 5 = 469294021350

Therefore, the lowest common multiple of 790,886,473,567,225 is 469294021350.

LCM Formula to Find Lowest Common Multiple of 790,886,473,567,225

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.

790 x 886 x 473 x 567 x 225 = 42236461921500

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.

790 : 1, 2, 5, 10, 79, 158, 395, 790

886 : 1, 2, 443, 886

473 : 1, 11, 43, 473

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 790,886,473,567,225, is 1.

Now, the common factors can be found like this.

790:2x 5x 79

886:2x 443

473:11x 43

567:3x 3x 3x 3x 7

225:3x 3x 5x 5

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 42236461921500/(1x90)

LCM = 42236461921500/90

LCM = 469294021350

Thus, we can understand that the LCM of 790,886,473,567,225 is 469294021350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 790, 886, 473, 567, 225

1. What is the LCM of 790, 886, 473, 567, 225?

Answer: LCM of 790, 886, 473, 567, 225 is 469294021350.

2. How to calculate the LCM of 790, 886, 473, 567, 225?

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 790, 886, 473, 567, 225.

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}.