Given numbers are 261,174,381,633

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

The LCM of 261,174,381,633 is 13988034.

Find LCM of 261,174,381,633 with Prime Factorization

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

3 x 29 x 3 x 2 x 127 x 211 = 13988034

Therefore, the lowest common multiple of 261,174,381,633 is 13988034.

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.

261 x 174 x 381 x 633 = 10952630622

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.

261 : 1, 3, 9, 29, 87, 261

174 : 1, 2, 3, 6, 29, 58, 87, 174

381 : 1, 3, 127, 381

633 : 1, 3, 211, 633

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,174,381,633, is 3.

Now, the common factors can be found like this.

261:3x 3x 29

174:2x 3x 29

381:3x 127

633:3x 211

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

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 10952630622/(3x261)

LCM = 10952630622/783

LCM = 13988034

Thus, we can understand that the LCM of 261,174,381,633 is 13988034.

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

• LCM of 786, 190, 322, 833
• LCM of 866, 471, 814, 313
• LCM of 925, 799, 103, 573
• LCM of 519, 561, 653, 312
• LCM of 718, 573, 418, 609

1. What is the LCM of 261, 174, 381, 633?

Answer: LCM of 261, 174, 381, 633 is 13988034.

2. How to calculate the LCM of 261, 174, 381, 633?

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 261, 174, 381, 633.

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}.