Given numbers are 353,106,148,222,742

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

The LCM of 353,106,148,222,742 is 58147572.

Find LCM of 353,106,148,222,742 with Prime Factorization

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

2 x 37 x 53 x 353 x 1 x 2 x 3 x 7 = 58147572

Therefore, the lowest common multiple of 353,106,148,222,742 is 58147572.

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.

353 x 106 x 148 x 222 x 742 = 912219109536

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.

353 : 1, 353

106 : 1, 2, 53, 106

148 : 1, 2, 4, 37, 74, 148

222 : 1, 2, 3, 6, 37, 74, 111, 222

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,106,148,222,742, is 1.

Now, the common factors can be found like this.

353:353

106:2x 53

148:2x 2x 37

222:2x 3x 37

742:2x 7x 53

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 37x 53 = 15688

Therefore, the value for common factors is 15688.

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 = 912219109536/(1x15688)

LCM = 912219109536/15688

LCM = 58147572

Thus, we can understand that the LCM of 353,106,148,222,742 is 58147572.

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

• LCM of 174, 321, 414, 410, 477
• LCM of 627, 749, 544, 657, 261
• LCM of 333, 360, 341, 156, 724
• LCM of 310, 614, 152, 453, 571
• LCM of 815, 815, 757, 856, 191

1. What is the LCM of 353, 106, 148, 222, 742?

Answer: LCM of 353, 106, 148, 222, 742 is 58147572.

2. How to calculate the LCM of 353, 106, 148, 222, 742?

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 353, 106, 148, 222, 742.

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}.