Given numbers are 687,480,748,718

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

The LCM of 687,480,748,718 is 7379259360.

Find LCM of 687,480,748,718 with Prime Factorization

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

2 x 2 x 3 x 229 x 40 x 187 x 359 = 7379259360

Therefore, the lowest common multiple of 687,480,748,718 is 7379259360.

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.

687 x 480 x 748 x 718 = 177102224640

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.

687 : 1, 3, 229, 687

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,480,748,718, is 1.

Now, the common factors can be found like this.

687:3x 229

480:2x 2x 2x 2x 2x 3x 5

748:2x 2x 11x 17

718:2x 359

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 3 = 24

Therefore, the value for common factors is 24.

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 = 177102224640/(1x24)

LCM = 177102224640/24

LCM = 7379259360

Thus, we can understand that the LCM of 687,480,748,718 is 7379259360.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 943, 723, 262, 717
• LCM of 956, 706, 101, 960
• LCM of 710, 159, 906, 506
• LCM of 718, 224, 978, 130
• LCM of 650, 305, 301, 137

1. What is the LCM of 687, 480, 748, 718?

Answer: LCM of 687, 480, 748, 718 is 7379259360.

2. How to calculate the LCM of 687, 480, 748, 718?

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 687, 480, 748, 718.

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}.