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LCM of 549, 703, 240, 411, 777

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


Find the LCM of 549, 703, 240, 411, 777 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, 703, 240, 411, 777. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,703,240,411,777

Given numbers are 549,703,240,411,777

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

The LCM of 549,703,240,411,777 is 29609853840.

Find LCM of 549,703,240,411,777 with Prime Factorization


3 549, 703, 240, 411, 777
37 183, 703, 80, 137, 259
183, 19, 80, 137, 7

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

3 x 37 x 183 x 19 x 80 x 137 x 7 = 29609853840

Therefore, the lowest common multiple of 549,703,240,411,777 is 29609853840.

LCM Formula to Find Lowest Common Multiple of 549,703,240,411,777

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 703 x 240 x 411 x 777 = 29580243986160

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

703 : 1, 19, 37, 703

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

411 : 1, 3, 137, 411

777 : 1, 3, 7, 21, 37, 111, 259, 777

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,703,240,411,777, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

703:19x 37

240:2x 2x 2x 2x 3x 5

411:3x 137

777:3x 7x 37

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

3x 3x 3x 37 = 999

Therefore, the value for common factors is 999.

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 = 29580243986160/(1x999)

LCM = 29580243986160/999

LCM = 29609853840

Thus, we can understand that the LCM of 549,703,240,411,777 is 29609853840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 703, 240, 411, 777

1. What is the LCM of 549, 703, 240, 411, 777?

Answer: LCM of 549, 703, 240, 411, 777 is 29609853840.

2. How to calculate the LCM of 549, 703, 240, 411, 777?

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, 703, 240, 411, 777.

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}.