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LCM of 692, 467, 242, 790

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


Find the LCM of 692, 467, 242, 790 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, 467, 242, 790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,467,242,790

Given numbers are 692,467,242,790

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

The LCM of 692,467,242,790 is 15445623380.

Find LCM of 692,467,242,790 with Prime Factorization


2 692, 467, 242, 790
346, 467, 121, 395

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

2 x 346 x 467 x 121 x 395 = 15445623380

Therefore, the lowest common multiple of 692,467,242,790 is 15445623380.

LCM Formula to Find Lowest Common Multiple of 692,467,242,790

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 467 x 242 x 790 = 61782493520

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

467 : 1, 467

242 : 1, 2, 11, 22, 121, 242

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,467,242,790, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

467:467

242:2x 11x 11

790:2x 5x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 61782493520/(1x4)

LCM = 61782493520/4

LCM = 15445623380

Thus, we can understand that the LCM of 692,467,242,790 is 15445623380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 467, 242, 790

1. What is the LCM of 692, 467, 242, 790?

Answer: LCM of 692, 467, 242, 790 is 15445623380.

2. How to calculate the LCM of 692, 467, 242, 790?

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, 467, 242, 790.

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}.