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LCM of 692, 692, 460, 419

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


Find the LCM of 692, 692, 460, 419 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 692, 692, 460, 419. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,692,460,419

Given numbers are 692,692,460,419

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

The LCM of 692,692,460,419 is 33344020.

Find LCM of 692,692,460,419 with Prime Factorization


2 692, 692, 460, 419
2 346, 346, 230, 419
173 173, 173, 115, 419
1, 1, 115, 419

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

2 x 2 x 173 x 1 x 1 x 115 x 419 = 33344020

Therefore, the lowest common multiple of 692,692,460,419 is 33344020.

LCM Formula to Find Lowest Common Multiple of 692,692,460,419

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.

692 x 692 x 460 x 419 = 92296247360

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.

692 : 1, 2, 4, 173, 346, 692

692 : 1, 2, 4, 173, 346, 692

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,692,460,419, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

692:2x 2x 173

460:2x 2x 5x 23

419:419

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 2x 2x 173 = 2768

Therefore, the value for common factors is 2768.

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 = 92296247360/(1x2768)

LCM = 92296247360/2768

LCM = 33344020

Thus, we can understand that the LCM of 692,692,460,419 is 33344020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 692, 460, 419

1. What is the LCM of 692, 692, 460, 419?

Answer: LCM of 692, 692, 460, 419 is 33344020.

2. How to calculate the LCM of 692, 692, 460, 419?

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 692, 692, 460, 419.

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}.