Given numbers are 471,369,806,828,420

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

The LCM of 471,369,806,828,420 is 75177336780.

Find LCM of 471,369,806,828,420 with Prime Factorization

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

2 x 2 x 3 x 3 x 157 x 41 x 403 x 23 x 35 = 75177336780

Therefore, the lowest common multiple of 471,369,806,828,420 is 75177336780.

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 369 x 806 x 828 x 420 = 48714914233440

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

369 : 1, 3, 9, 41, 123, 369

806 : 1, 2, 13, 26, 31, 62, 403, 806

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,369,806,828,420, is 1.

Now, the common factors can be found like this.

471:3x 157

369:3x 3x 41

806:2x 13x 31

828:2x 2x 3x 3x 23

420:2x 2x 3x 5x 7

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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 48714914233440/(1x648)

LCM = 48714914233440/648

LCM = 75177336780

Thus, we can understand that the LCM of 471,369,806,828,420 is 75177336780.

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

• LCM of 824, 929, 522, 378, 919
• LCM of 637, 145, 120, 191, 562
• LCM of 577, 249, 716, 827, 590
• LCM of 501, 667, 790, 205, 476
• LCM of 246, 421, 722, 802, 776

1. What is the LCM of 471, 369, 806, 828, 420?

Answer: LCM of 471, 369, 806, 828, 420 is 75177336780.

2. How to calculate the LCM of 471, 369, 806, 828, 420?

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, 369, 806, 828, 420.

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}.