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LCM of 463, 529, 164, 697

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


Find the LCM of 463, 529, 164, 697 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 463, 529, 164, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,529,164,697

Given numbers are 463,529,164,697

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

The LCM of 463,529,164,697 is 682856476.

Find LCM of 463,529,164,697 with Prime Factorization


41 463, 529, 164, 697
463, 529, 4, 17

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

41 x 463 x 529 x 4 x 17 = 682856476

Therefore, the lowest common multiple of 463,529,164,697 is 682856476.

LCM Formula to Find Lowest Common Multiple of 463,529,164,697

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.

463 x 529 x 164 x 697 = 27997115516

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.

463 : 1, 463

529 : 1, 23, 529

164 : 1, 2, 4, 41, 82, 164

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,529,164,697, is 1.

Now, the common factors can be found like this.

463:463

529:23x 23

164:2x 2x 41

697:17x 41

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

41 = 41

Therefore, the value for common factors is 41.

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 = 27997115516/(1x41)

LCM = 27997115516/41

LCM = 682856476

Thus, we can understand that the LCM of 463,529,164,697 is 682856476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 529, 164, 697

1. What is the LCM of 463, 529, 164, 697?

Answer: LCM of 463, 529, 164, 697 is 682856476.

2. How to calculate the LCM of 463, 529, 164, 697?

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 463, 529, 164, 697.

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}.