Given numbers are 552,420,471,546,574

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

The LCM of 552,420,471,546,574 is 1616716920.

Find LCM of 552,420,471,546,574 with Prime Factorization

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

2 x 2 x 3 x 7 x 46 x 5 x 157 x 13 x 41 = 1616716920

Therefore, the lowest common multiple of 552,420,471,546,574 is 1616716920.

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.

552 x 420 x 471 x 546 x 574 = 34222663762560

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.

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

471 : 1, 3, 157, 471

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

574 : 1, 2, 7, 14, 41, 82, 287, 574

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,420,471,546,574, is 1.

Now, the common factors can be found like this.

552:2x 2x 2x 3x 23

420:2x 2x 3x 5x 7

471:3x 157

546:2x 3x 7x 13

574:2x 7x 41

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 2x 3x 3x 3x 7x 7 = 21168

Therefore, the value for common factors is 21168.

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 = 34222663762560/(1x21168)

LCM = 34222663762560/21168

LCM = 1616716920

Thus, we can understand that the LCM of 552,420,471,546,574 is 1616716920.

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

• LCM of 400, 213, 880, 572, 254
• LCM of 638, 422, 609, 160, 377
• LCM of 738, 984, 440, 776, 695
• LCM of 152, 395, 517, 481, 691
• LCM of 380, 728, 269, 603, 805

1. What is the LCM of 552, 420, 471, 546, 574?

Answer: LCM of 552, 420, 471, 546, 574 is 1616716920.

2. How to calculate the LCM of 552, 420, 471, 546, 574?

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 552, 420, 471, 546, 574.

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}.