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LCM of 772, 207, 552, 92

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


Find the LCM of 772, 207, 552, 92 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 772, 207, 552, 92. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 772,207,552,92

Given numbers are 772,207,552,92

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

The LCM of 772,207,552,92 is 319608.

Find LCM of 772,207,552,92 with Prime Factorization


2 772, 207, 552, 92
2 386, 207, 276, 46
3 193, 207, 138, 23
23 193, 69, 46, 23
193, 3, 2, 1

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

2 x 2 x 3 x 23 x 193 x 3 x 2 x 1 = 319608

Therefore, the lowest common multiple of 772,207,552,92 is 319608.

LCM Formula to Find Lowest Common Multiple of 772,207,552,92

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.

772 x 207 x 552 x 92 = 8115486336

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.

772 : 1, 2, 4, 193, 386, 772

207 : 1, 3, 9, 23, 69, 207

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

92 : 1, 2, 4, 23, 46, 92

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,207,552,92, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

207:3x 3x 23

552:2x 2x 2x 3x 23

92:2x 2x 23

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 3x 23x 23 = 25392

Therefore, the value for common factors is 25392.

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 = 8115486336/(1x25392)

LCM = 8115486336/25392

LCM = 319608

Thus, we can understand that the LCM of 772,207,552,92 is 319608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 772, 207, 552, 92

1. What is the LCM of 772, 207, 552, 92?

Answer: LCM of 772, 207, 552, 92 is 319608.

2. How to calculate the LCM of 772, 207, 552, 92?

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 772, 207, 552, 92.

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}.