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LCM of 433, 611, 793, 470

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


Find the LCM of 433, 611, 793, 470 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 433, 611, 793, 470. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 433,611,793,470

Given numbers are 433,611,793,470

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

The LCM of 433,611,793,470 is 161383430.

Find LCM of 433,611,793,470 with Prime Factorization


13 433, 611, 793, 470
47 433, 47, 61, 470
433, 1, 61, 10

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

13 x 47 x 433 x 1 x 61 x 10 = 161383430

Therefore, the lowest common multiple of 433,611,793,470 is 161383430.

LCM Formula to Find Lowest Common Multiple of 433,611,793,470

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.

433 x 611 x 793 x 470 = 98605275730

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.

433 : 1, 433

611 : 1, 13, 47, 611

793 : 1, 13, 61, 793

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,611,793,470, is 1.

Now, the common factors can be found like this.

433:433

611:13x 47

793:13x 61

470:2x 5x 47

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

13x 47 = 611

Therefore, the value for common factors is 611.

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 = 98605275730/(1x611)

LCM = 98605275730/611

LCM = 161383430

Thus, we can understand that the LCM of 433,611,793,470 is 161383430.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 433, 611, 793, 470

1. What is the LCM of 433, 611, 793, 470?

Answer: LCM of 433, 611, 793, 470 is 161383430.

2. How to calculate the LCM of 433, 611, 793, 470?

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 433, 611, 793, 470.

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}.