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LCM of 692, 692, 356

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


Find the LCM of 692, 692, 356 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, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,692,356

Given numbers are 692,692,356

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

The LCM of 692,692,356 is 61588.

Find LCM of 692,692,356 with Prime Factorization


2 692, 692, 356
2 346, 346, 178
173 173, 173, 89
1, 1, 89

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

2 x 2 x 173 x 1 x 1 x 89 = 61588

Therefore, the lowest common multiple of 692,692,356 is 61588.

LCM Formula to Find Lowest Common Multiple of 692,692,356

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 356 = 170475584

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

356 : 1, 2, 4, 89, 178, 356

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,692,356, is 4.

Now, the common factors can be found like this.

692:2x 2x 173

692:2x 2x 173

356:2x 2x 89

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 173 = 692

Therefore, the value for common factors is 692.

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 = 170475584/(4x692)

LCM = 170475584/2768

LCM = 61588

Thus, we can understand that the LCM of 692,692,356 is 61588.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 692, 692, 356

1. What is the LCM of 692, 692, 356?

Answer: LCM of 692, 692, 356 is 61588.

2. How to calculate the LCM of 692, 692, 356?

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, 356.

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}.