Given numbers are 867,720,820,916,558

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

The LCM of 867,720,820,916,558 is 60563556720.

Find LCM of 867,720,820,916,558 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 289 x 4 x 41 x 229 x 31 = 60563556720

Therefore, the lowest common multiple of 867,720,820,916,558 is 60563556720.

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.

867 x 720 x 820 x 916 x 558 = 261634565030400

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.

867 : 1, 3, 17, 51, 289, 867

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

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

916 : 1, 2, 4, 229, 458, 916

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,720,820,916,558, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

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

820:2x 2x 5x 41

916:2x 2x 229

558:2x 3x 3x 31

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 261634565030400/(1x4320)

LCM = 261634565030400/4320

LCM = 60563556720

Thus, we can understand that the LCM of 867,720,820,916,558 is 60563556720.

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

• LCM of 410, 380, 370, 851, 173
• LCM of 674, 830, 542, 710, 434
• LCM of 552, 545, 724, 779, 902
• LCM of 227, 961, 931, 153, 745
• LCM of 885, 593, 844, 397, 419

1. What is the LCM of 867, 720, 820, 916, 558?

Answer: LCM of 867, 720, 820, 916, 558 is 60563556720.

2. How to calculate the LCM of 867, 720, 820, 916, 558?

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 867, 720, 820, 916, 558.

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}.