Given numbers are 261,493,119,701

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

The LCM of 261,493,119,701 is 21772359.

Find LCM of 261,493,119,701 with Prime Factorization

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

17 x 29 x 9 x 1 x 7 x 701 = 21772359

Therefore, the lowest common multiple of 261,493,119,701 is 21772359.

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 493 x 119 x 701 = 10733772987

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

493 : 1, 17, 29, 493

119 : 1, 7, 17, 119

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,493,119,701, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

493:17x 29

119:7x 17

701:701

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

17x 29 = 493

Therefore, the value for common factors is 493.

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 = 10733772987/(1x493)

LCM = 10733772987/493

LCM = 21772359

Thus, we can understand that the LCM of 261,493,119,701 is 21772359.

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

• LCM of 938, 141, 493, 369
• LCM of 395, 979, 221, 173
• LCM of 430, 962, 839, 328
• LCM of 348, 321, 113, 834
• LCM of 551, 825, 476, 276

1. What is the LCM of 261, 493, 119, 701?

Answer: LCM of 261, 493, 119, 701 is 21772359.

2. How to calculate the LCM of 261, 493, 119, 701?

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, 493, 119, 701.

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}.