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LCM of 720, 457, 214, 428

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


Find the LCM of 720, 457, 214, 428 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, 457, 214, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,457,214,428

Given numbers are 720,457,214,428

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

The LCM of 720,457,214,428 is 35207280.

Find LCM of 720,457,214,428 with Prime Factorization


2 720, 457, 214, 428
2 360, 457, 107, 214
107 180, 457, 107, 107
180, 457, 1, 1

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

2 x 2 x 107 x 180 x 457 x 1 x 1 = 35207280

Therefore, the lowest common multiple of 720,457,214,428 is 35207280.

LCM Formula to Find Lowest Common Multiple of 720,457,214,428

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 457 x 214 x 428 = 30137431680

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

457 : 1, 457

214 : 1, 2, 107, 214

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,457,214,428, is 1.

Now, the common factors can be found like this.

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

457:457

214:2x 107

428:2x 2x 107

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 107 = 856

Therefore, the value for common factors is 856.

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 = 30137431680/(1x856)

LCM = 30137431680/856

LCM = 35207280

Thus, we can understand that the LCM of 720,457,214,428 is 35207280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 457, 214, 428

1. What is the LCM of 720, 457, 214, 428?

Answer: LCM of 720, 457, 214, 428 is 35207280.

2. How to calculate the LCM of 720, 457, 214, 428?

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, 457, 214, 428.

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}.