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LCM of 538, 468, 408, 786

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


Find the LCM of 538, 468, 408, 786 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 538, 468, 408, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,468,408,786

Given numbers are 538,468,408,786

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

The LCM of 538,468,408,786 is 560722968.

Find LCM of 538,468,408,786 with Prime Factorization


2 538, 468, 408, 786
2 269, 234, 204, 393
3 269, 117, 102, 393
269, 39, 34, 131

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

2 x 2 x 3 x 269 x 39 x 34 x 131 = 560722968

Therefore, the lowest common multiple of 538,468,408,786 is 560722968.

LCM Formula to Find Lowest Common Multiple of 538,468,408,786

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.

538 x 468 x 408 x 786 = 80744107392

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.

538 : 1, 2, 269, 538

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

786 : 1, 2, 3, 6, 131, 262, 393, 786

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,468,408,786, is 2.

Now, the common factors can be found like this.

538:2x 269

468:2x 2x 3x 3x 13

408:2x 2x 2x 3x 17

786:2x 3x 131

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 80744107392/(2x72)

LCM = 80744107392/144

LCM = 560722968

Thus, we can understand that the LCM of 538,468,408,786 is 560722968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 468, 408, 786

1. What is the LCM of 538, 468, 408, 786?

Answer: LCM of 538, 468, 408, 786 is 560722968.

2. How to calculate the LCM of 538, 468, 408, 786?

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 538, 468, 408, 786.

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}.