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LCM of 549, 704, 704, 578, 188

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


Find the LCM of 549, 704, 704, 578, 188 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 549, 704, 704, 578, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,704,704,578,188

Given numbers are 549,704,704,578,188

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

The LCM of 549,704,704,578,188 is 5249775168.

Find LCM of 549,704,704,578,188 with Prime Factorization


2 549, 704, 704, 578, 188
2 549, 352, 352, 289, 94
2 549, 176, 176, 289, 47
2 549, 88, 88, 289, 47
2 549, 44, 44, 289, 47
2 549, 22, 22, 289, 47
11 549, 11, 11, 289, 47
549, 1, 1, 289, 47

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

2 x 2 x 2 x 2 x 2 x 2 x 11 x 549 x 1 x 1 x 289 x 47 = 5249775168

Therefore, the lowest common multiple of 549,704,704,578,188 is 5249775168.

LCM Formula to Find Lowest Common Multiple of 549,704,704,578,188

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.

549 x 704 x 704 x 578 x 188 = 29566733746176

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.

549 : 1, 3, 9, 61, 183, 549

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

578 : 1, 2, 17, 34, 289, 578

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,704,704,578,188, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

704:2x 2x 2x 2x 2x 2x 11

704:2x 2x 2x 2x 2x 2x 11

578:2x 17x 17

188:2x 2x 47

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 2x 2x 2x 2x 2x 11 = 5632

Therefore, the value for common factors is 5632.

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 = 29566733746176/(1x5632)

LCM = 29566733746176/5632

LCM = 5249775168

Thus, we can understand that the LCM of 549,704,704,578,188 is 5249775168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 704, 704, 578, 188

1. What is the LCM of 549, 704, 704, 578, 188?

Answer: LCM of 549, 704, 704, 578, 188 is 5249775168.

2. How to calculate the LCM of 549, 704, 704, 578, 188?

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 549, 704, 704, 578, 188.

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}.