Given numbers are 471,642,981,528,692

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

The LCM of 471,642,981,528,692 is 501777528912.

Find LCM of 471,642,981,528,692 with Prime Factorization

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

2 x 2 x 3 x 157 x 107 x 327 x 44 x 173 = 501777528912

Therefore, the lowest common multiple of 471,642,981,528,692 is 501777528912.

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 642 x 981 x 528 x 692 = 108383946244992

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

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

981 : 1, 3, 9, 109, 327, 981

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,642,981,528,692, is 1.

Now, the common factors can be found like this.

471:3x 157

642:2x 3x 107

981:3x 3x 109

528:2x 2x 2x 2x 3x 11

692:2x 2x 173

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 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 108383946244992/(1x216)

LCM = 108383946244992/216

LCM = 501777528912

Thus, we can understand that the LCM of 471,642,981,528,692 is 501777528912.

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

• LCM of 636, 286, 443, 181, 335
• LCM of 392, 584, 690, 428, 728
• LCM of 739, 562, 441, 648, 614
• LCM of 490, 222, 875, 567, 583
• LCM of 472, 621, 800, 674, 744

1. What is the LCM of 471, 642, 981, 528, 692?

Answer: LCM of 471, 642, 981, 528, 692 is 501777528912.

2. How to calculate the LCM of 471, 642, 981, 528, 692?

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, 642, 981, 528, 692.

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}.