Given numbers are 261,613,276,642,376

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

The LCM of 261,613,276,642,376 is 148047282648.

Find LCM of 261,613,276,642,376 with Prime Factorization

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

2 x 2 x 3 x 87 x 613 x 23 x 107 x 94 = 148047282648

Therefore, the lowest common multiple of 261,613,276,642,376 is 148047282648.

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 613 x 276 x 642 x 376 = 10659404350656

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

613 : 1, 613

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

642 : 1, 2, 3, 6, 107, 214, 321, 642

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,613,276,642,376, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

613:613

276:2x 2x 3x 23

642:2x 3x 107

376:2x 2x 2x 47

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 10659404350656/(1x72)

LCM = 10659404350656/72

LCM = 148047282648

Thus, we can understand that the LCM of 261,613,276,642,376 is 148047282648.

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

• LCM of 813, 369, 370, 379, 667
• LCM of 408, 527, 547, 631, 774
• LCM of 804, 532, 226, 614, 956
• LCM of 865, 753, 106, 760, 335
• LCM of 977, 124, 235, 832, 408

1. What is the LCM of 261, 613, 276, 642, 376?

Answer: LCM of 261, 613, 276, 642, 376 is 148047282648.

2. How to calculate the LCM of 261, 613, 276, 642, 376?

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, 613, 276, 642, 376.

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}.