Given numbers are 348,201,241,874,392

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

The LCM of 348,201,241,874,392 is 240645974856.

Find LCM of 348,201,241,874,392 with Prime Factorization

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

2 x 2 x 3 x 29 x 67 x 241 x 437 x 98 = 240645974856

Therefore, the lowest common multiple of 348,201,241,874,392 is 240645974856.

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.

348 x 201 x 241 x 874 x 392 = 5775503396544

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

201 : 1, 3, 67, 201

241 : 1, 241

874 : 1, 2, 19, 23, 38, 46, 437, 874

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,201,241,874,392, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

201:3x 67

241:241

874:2x 19x 23

392:2x 2x 2x 7x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5775503396544/(1x24)

LCM = 5775503396544/24

LCM = 240645974856

Thus, we can understand that the LCM of 348,201,241,874,392 is 240645974856.

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

• LCM of 660, 399, 657, 648, 820
• LCM of 857, 619, 326, 315, 829
• LCM of 957, 421, 978, 802, 255
• LCM of 924, 477, 843, 335, 205
• LCM of 694, 932, 397, 628, 521

1. What is the LCM of 348, 201, 241, 874, 392?

Answer: LCM of 348, 201, 241, 874, 392 is 240645974856.

2. How to calculate the LCM of 348, 201, 241, 874, 392?

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 348, 201, 241, 874, 392.

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}.