Given numbers are 551,756,320,920

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

The LCM of 551,756,320,920 is 766463040.

Find LCM of 551,756,320,920 with Prime Factorization

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

2 x 2 x 2 x 5 x 551 x 189 x 8 x 23 = 766463040

Therefore, the lowest common multiple of 551,756,320,920 is 766463040.

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.

551 x 756 x 320 x 920 = 122634086400

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.

551 : 1, 19, 29, 551

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,756,320,920, is 1.

Now, the common factors can be found like this.

551:19x 29

756:2x 2x 3x 3x 3x 7

320:2x 2x 2x 2x 2x 2x 5

920:2x 2x 2x 5x 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 5 = 160

Therefore, the value for common factors is 160.

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 = 122634086400/(1x160)

LCM = 122634086400/160

LCM = 766463040

Thus, we can understand that the LCM of 551,756,320,920 is 766463040.

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

• LCM of 924, 915, 842, 537
• LCM of 316, 865, 662, 691
• LCM of 124, 632, 973, 946
• LCM of 630, 941, 683, 180
• LCM of 718, 569, 928, 178

1. What is the LCM of 551, 756, 320, 920?

Answer: LCM of 551, 756, 320, 920 is 766463040.

2. How to calculate the LCM of 551, 756, 320, 920?

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 551, 756, 320, 920.

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}.