Given numbers are 298,142,226,363

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

The LCM of 298,142,226,363 is 867880002.

Find LCM of 298,142,226,363 with Prime Factorization

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

2 x 149 x 71 x 113 x 363 = 867880002

Therefore, the lowest common multiple of 298,142,226,363 is 867880002.

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.

298 x 142 x 226 x 363 = 3471520008

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.

298 : 1, 2, 149, 298

142 : 1, 2, 71, 142

226 : 1, 2, 113, 226

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,142,226,363, is 1.

Now, the common factors can be found like this.

298:2x 149

142:2x 71

226:2x 113

363:3x 11x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3471520008/(1x4)

LCM = 3471520008/4

LCM = 867880002

Thus, we can understand that the LCM of 298,142,226,363 is 867880002.

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

• LCM of 332, 112, 752, 900
• LCM of 746, 665, 842, 405
• LCM of 794, 220, 983, 674
• LCM of 841, 632, 898, 267
• LCM of 166, 191, 469, 885

1. What is the LCM of 298, 142, 226, 363?

Answer: LCM of 298, 142, 226, 363 is 867880002.

2. How to calculate the LCM of 298, 142, 226, 363?

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 298, 142, 226, 363.

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}.