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LCM of 720, 404, 744, 506

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


Find the LCM of 720, 404, 744, 506 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 720, 404, 744, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,404,744,506

Given numbers are 720,404,744,506

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

The LCM of 720,404,744,506 is 570342960.

Find LCM of 720,404,744,506 with Prime Factorization


2 720, 404, 744, 506
2 360, 202, 372, 253
2 180, 101, 186, 253
3 90, 101, 93, 253
30, 101, 31, 253

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

2 x 2 x 2 x 3 x 30 x 101 x 31 x 253 = 570342960

Therefore, the lowest common multiple of 720,404,744,506 is 570342960.

LCM Formula to Find Lowest Common Multiple of 720,404,744,506

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.

720 x 404 x 744 x 506 = 109505848320

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

404 : 1, 2, 4, 101, 202, 404

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,404,744,506, is 2.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

404:2x 2x 101

744:2x 2x 2x 3x 31

506:2x 11x 23

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 3 = 96

Therefore, the value for common factors is 96.

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 = 109505848320/(2x96)

LCM = 109505848320/192

LCM = 570342960

Thus, we can understand that the LCM of 720,404,744,506 is 570342960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 404, 744, 506

1. What is the LCM of 720, 404, 744, 506?

Answer: LCM of 720, 404, 744, 506 is 570342960.

2. How to calculate the LCM of 720, 404, 744, 506?

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 720, 404, 744, 506.

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}.