Given numbers are 322,206,274,101

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

The LCM of 322,206,274,101 is 458917942.

Find LCM of 322,206,274,101 with Prime Factorization

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

2 x 161 x 103 x 137 x 101 = 458917942

Therefore, the lowest common multiple of 322,206,274,101 is 458917942.

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.

322 x 206 x 274 x 101 = 1835671768

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

206 : 1, 2, 103, 206

274 : 1, 2, 137, 274

101 : 1, 101

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,206,274,101, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

206:2x 103

274:2x 137

101:101

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 = 1835671768/(1x4)

LCM = 1835671768/4

LCM = 458917942

Thus, we can understand that the LCM of 322,206,274,101 is 458917942.

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

• LCM of 226, 193, 233, 266
• LCM of 148, 691, 834, 116
• LCM of 905, 371, 205, 889
• LCM of 445, 324, 908, 196
• LCM of 839, 804, 925, 398

1. What is the LCM of 322, 206, 274, 101?

Answer: LCM of 322, 206, 274, 101 is 458917942.

2. How to calculate the LCM of 322, 206, 274, 101?

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 322, 206, 274, 101.

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}.