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LCM of 926, 270, 191, 768

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


Find the LCM of 926, 270, 191, 768 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 926, 270, 191, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,270,191,768

Given numbers are 926,270,191,768

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

The LCM of 926,270,191,768 is 3056244480.

Find LCM of 926,270,191,768 with Prime Factorization


2 926, 270, 191, 768
3 463, 135, 191, 384
463, 45, 191, 128

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

2 x 3 x 463 x 45 x 191 x 128 = 3056244480

Therefore, the lowest common multiple of 926,270,191,768 is 3056244480.

LCM Formula to Find Lowest Common Multiple of 926,270,191,768

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.

926 x 270 x 191 x 768 = 36674933760

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.

926 : 1, 2, 463, 926

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

191 : 1, 191

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,270,191,768, is 1.

Now, the common factors can be found like this.

926:2x 463

270:2x 3x 3x 3x 5

191:191

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 36674933760/(1x12)

LCM = 36674933760/12

LCM = 3056244480

Thus, we can understand that the LCM of 926,270,191,768 is 3056244480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 270, 191, 768

1. What is the LCM of 926, 270, 191, 768?

Answer: LCM of 926, 270, 191, 768 is 3056244480.

2. How to calculate the LCM of 926, 270, 191, 768?

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 926, 270, 191, 768.

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}.