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LCM of 561, 660, 420, 540, 735

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


Find the LCM of 561, 660, 420, 540, 735 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 561, 660, 420, 540, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,660,420,540,735

Given numbers are 561,660,420,540,735

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

The LCM of 561,660,420,540,735 is 4948020.

Find LCM of 561,660,420,540,735 with Prime Factorization


2 561, 660, 420, 540, 735
2 561, 330, 210, 270, 735
3 561, 165, 105, 135, 735
5 187, 55, 35, 45, 245
7 187, 11, 7, 9, 49
11 187, 11, 1, 9, 7
17, 1, 1, 9, 7

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

2 x 2 x 3 x 5 x 7 x 11 x 17 x 1 x 1 x 9 x 7 = 4948020

Therefore, the lowest common multiple of 561,660,420,540,735 is 4948020.

LCM Formula to Find Lowest Common Multiple of 561,660,420,540,735

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.

561 x 660 x 420 x 540 x 735 = 61721601480000

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,660,420,540,735, is 3.

Now, the common factors can be found like this.

561:3x 11x 17

660:2x 2x 3x 5x 11

420:2x 2x 3x 5x 7

540:2x 2x 3x 3x 3x 5

735:3x 5x 7x 7

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 3x 3x 3x 5x 5x 5x 7x 11 = 4158000

Therefore, the value for common factors is 4158000.

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 = 61721601480000/(3x4158000)

LCM = 61721601480000/12474000

LCM = 4948020

Thus, we can understand that the LCM of 561,660,420,540,735 is 4948020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 660, 420, 540, 735

1. What is the LCM of 561, 660, 420, 540, 735?

Answer: LCM of 561, 660, 420, 540, 735 is 4948020.

2. How to calculate the LCM of 561, 660, 420, 540, 735?

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 561, 660, 420, 540, 735.

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}.