Given numbers are 471,526,716,287,338

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

The LCM of 471,526,716,287,338 is 4301879877204.

Find LCM of 471,526,716,287,338 with Prime Factorization

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

2 x 471 x 263 x 358 x 287 x 169 = 4301879877204

Therefore, the lowest common multiple of 471,526,716,287,338 is 4301879877204.

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.

471 x 526 x 716 x 287 x 338 = 17207519508816

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.

471 : 1, 3, 157, 471

526 : 1, 2, 263, 526

716 : 1, 2, 4, 179, 358, 716

287 : 1, 7, 41, 287

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,526,716,287,338, is 1.

Now, the common factors can be found like this.

471:3x 157

526:2x 263

716:2x 2x 179

287:7x 41

338:2x 13x 13

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 = 17207519508816/(1x4)

LCM = 17207519508816/4

LCM = 4301879877204

Thus, we can understand that the LCM of 471,526,716,287,338 is 4301879877204.

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

• LCM of 327, 672, 130, 144, 949
• LCM of 181, 814, 390, 162, 308
• LCM of 822, 745, 119, 952, 264
• LCM of 106, 500, 721, 489, 410
• LCM of 126, 394, 492, 770, 203

1. What is the LCM of 471, 526, 716, 287, 338?

Answer: LCM of 471, 526, 716, 287, 338 is 4301879877204.

2. How to calculate the LCM of 471, 526, 716, 287, 338?

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 471, 526, 716, 287, 338.

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}.