Given numbers are 706,146,822,764,428

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

The LCM of 706,146,822,764,428 is 865797891132.

Find LCM of 706,146,822,764,428 with Prime Factorization

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

2 x 2 x 353 x 73 x 411 x 191 x 107 = 865797891132

Therefore, the lowest common multiple of 706,146,822,764,428 is 865797891132.

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.

706 x 146 x 822 x 764 x 428 = 27705532516224

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.

706 : 1, 2, 353, 706

146 : 1, 2, 73, 146

822 : 1, 2, 3, 6, 137, 274, 411, 822

764 : 1, 2, 4, 191, 382, 764

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,146,822,764,428, is 2.

Now, the common factors can be found like this.

706:2x 353

146:2x 73

822:2x 3x 137

764:2x 2x 191

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 2 = 16

Therefore, the value for common factors is 16.

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 = 27705532516224/(2x16)

LCM = 27705532516224/32

LCM = 865797891132

Thus, we can understand that the LCM of 706,146,822,764,428 is 865797891132.

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

• LCM of 556, 585, 876, 195, 631
• LCM of 401, 483, 794, 607, 555
• LCM of 658, 847, 914, 806, 781
• LCM of 920, 265, 790, 905, 834
• LCM of 158, 801, 949, 924, 286

1. What is the LCM of 706, 146, 822, 764, 428?

Answer: LCM of 706, 146, 822, 764, 428 is 865797891132.

2. How to calculate the LCM of 706, 146, 822, 764, 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 706, 146, 822, 764, 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}.