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LCM of 470, 497, 663, 752

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


Find the LCM of 470, 497, 663, 752 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, 497, 663, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,497,663,752

Given numbers are 470,497,663,752

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

The LCM of 470,497,663,752 is 1238961360.

Find LCM of 470,497,663,752 with Prime Factorization


2 470, 497, 663, 752
47 235, 497, 663, 376
5, 497, 663, 8

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

2 x 47 x 5 x 497 x 663 x 8 = 1238961360

Therefore, the lowest common multiple of 470,497,663,752 is 1238961360.

LCM Formula to Find Lowest Common Multiple of 470,497,663,752

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 497 x 663 x 752 = 116462367840

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

497 : 1, 7, 71, 497

663 : 1, 3, 13, 17, 39, 51, 221, 663

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,497,663,752, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

497:7x 71

663:3x 13x 17

752:2x 2x 2x 2x 47

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

2x 47 = 94

Therefore, the value for common factors is 94.

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 = 116462367840/(1x94)

LCM = 116462367840/94

LCM = 1238961360

Thus, we can understand that the LCM of 470,497,663,752 is 1238961360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 497, 663, 752

1. What is the LCM of 470, 497, 663, 752?

Answer: LCM of 470, 497, 663, 752 is 1238961360.

2. How to calculate the LCM of 470, 497, 663, 752?

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, 497, 663, 752.

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}.