Given numbers are 379,261,698,470,524

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

The LCM of 379,261,698,470,524 is 4251129095340.

Find LCM of 379,261,698,470,524 with Prime Factorization

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

2 x 379 x 261 x 349 x 235 x 262 = 4251129095340

Therefore, the lowest common multiple of 379,261,698,470,524 is 4251129095340.

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.

379 x 261 x 698 x 470 x 524 = 17004516381360

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.

379 : 1, 379

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

698 : 1, 2, 349, 698

470 : 1, 2, 5, 10, 47, 94, 235, 470

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,261,698,470,524, is 1.

Now, the common factors can be found like this.

379:379

261:3x 3x 29

698:2x 349

470:2x 5x 47

524:2x 2x 131

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 = 17004516381360/(1x4)

LCM = 17004516381360/4

LCM = 4251129095340

Thus, we can understand that the LCM of 379,261,698,470,524 is 4251129095340.

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

• LCM of 343, 378, 790, 509, 130
• LCM of 975, 294, 611, 590, 373
• LCM of 345, 224, 134, 131, 379
• LCM of 761, 748, 494, 345, 105
• LCM of 780, 910, 445, 564, 629

1. What is the LCM of 379, 261, 698, 470, 524?

Answer: LCM of 379, 261, 698, 470, 524 is 4251129095340.

2. How to calculate the LCM of 379, 261, 698, 470, 524?

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 379, 261, 698, 470, 524.

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}.