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LCM of 549, 555, 707, 312

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


Find the LCM of 549, 555, 707, 312 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, 555, 707, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,555,707,312

Given numbers are 549,555,707,312

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

The LCM of 549,555,707,312 is 7467871320.

Find LCM of 549,555,707,312 with Prime Factorization


3 549, 555, 707, 312
183, 185, 707, 104

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

3 x 183 x 185 x 707 x 104 = 7467871320

Therefore, the lowest common multiple of 549,555,707,312 is 7467871320.

LCM Formula to Find Lowest Common Multiple of 549,555,707,312

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 555 x 707 x 312 = 67210841880

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

555 : 1, 3, 5, 15, 37, 111, 185, 555

707 : 1, 7, 101, 707

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,555,707,312, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

555:3x 5x 37

707:7x 101

312:2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 67210841880/(1x9)

LCM = 67210841880/9

LCM = 7467871320

Thus, we can understand that the LCM of 549,555,707,312 is 7467871320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 555, 707, 312

1. What is the LCM of 549, 555, 707, 312?

Answer: LCM of 549, 555, 707, 312 is 7467871320.

2. How to calculate the LCM of 549, 555, 707, 312?

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, 555, 707, 312.

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}.