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LCM of 692, 692, 254

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


Find the LCM of 692, 692, 254 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, 254. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,692,254

Given numbers are 692,692,254

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

The LCM of 692,692,254 is 87884.

Find LCM of 692,692,254 with Prime Factorization


2 692, 692, 254
2 346, 346, 127
173 173, 173, 127
1, 1, 127

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

2 x 2 x 173 x 1 x 1 x 127 = 87884

Therefore, the lowest common multiple of 692,692,254 is 87884.

LCM Formula to Find Lowest Common Multiple of 692,692,254

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 254 = 121631456

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

254 : 1, 2, 127, 254

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,692,254, is 2.

Now, the common factors can be found like this.

692:2x 2x 173

692:2x 2x 173

254:2x 127

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 = 121631456/(2x692)

LCM = 121631456/1384

LCM = 87884

Thus, we can understand that the LCM of 692,692,254 is 87884.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 692, 692, 254

1. What is the LCM of 692, 692, 254?

Answer: LCM of 692, 692, 254 is 87884.

2. How to calculate the LCM of 692, 692, 254?

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, 254.

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}.