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LCM of 470, 470, 234, 722

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


Find the LCM of 470, 470, 234, 722 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 470, 470, 234, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,470,234,722

Given numbers are 470,470,234,722

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

The LCM of 470,470,234,722 is 19851390.

Find LCM of 470,470,234,722 with Prime Factorization


2 470, 470, 234, 722
5 235, 235, 117, 361
47 47, 47, 117, 361
1, 1, 117, 361

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

2 x 5 x 47 x 1 x 1 x 117 x 361 = 19851390

Therefore, the lowest common multiple of 470,470,234,722 is 19851390.

LCM Formula to Find Lowest Common Multiple of 470,470,234,722

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.

470 x 470 x 234 x 722 = 37320613200

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.

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

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

722 : 1, 2, 19, 38, 361, 722

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,470,234,722, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

470:2x 5x 47

234:2x 3x 3x 13

722:2x 19x 19

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

2x 2x 5x 47 = 940

Therefore, the value for common factors is 940.

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 = 37320613200/(2x940)

LCM = 37320613200/1880

LCM = 19851390

Thus, we can understand that the LCM of 470,470,234,722 is 19851390.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 470, 234, 722

1. What is the LCM of 470, 470, 234, 722?

Answer: LCM of 470, 470, 234, 722 is 19851390.

2. How to calculate the LCM of 470, 470, 234, 722?

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 470, 470, 234, 722.

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}.