Given numbers are 457,884,952,545,510

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

The LCM of 457,884,952,545,510 is 9247285320.

Find LCM of 457,884,952,545,510 with Prime Factorization

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

2 x 2 x 5 x 17 x 457 x 13 x 14 x 109 x 3 = 9247285320

Therefore, the lowest common multiple of 457,884,952,545,510 is 9247285320.

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.

457 x 884 x 952 x 545 x 510 = 106898618299200

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.

457 : 1, 457

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

545 : 1, 5, 109, 545

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,884,952,545,510, is 1.

Now, the common factors can be found like this.

457:457

884:2x 2x 13x 17

952:2x 2x 2x 7x 17

545:5x 109

510:2x 3x 5x 17

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 5x 17x 17 = 11560

Therefore, the value for common factors is 11560.

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 = 106898618299200/(1x11560)

LCM = 106898618299200/11560

LCM = 9247285320

Thus, we can understand that the LCM of 457,884,952,545,510 is 9247285320.

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

• LCM of 535, 581, 967, 899, 528
• LCM of 664, 844, 180, 392, 459
• LCM of 896, 758, 814, 859, 430
• LCM of 120, 137, 999, 926, 881
• LCM of 242, 674, 131, 547, 970

1. What is the LCM of 457, 884, 952, 545, 510?

Answer: LCM of 457, 884, 952, 545, 510 is 9247285320.

2. How to calculate the LCM of 457, 884, 952, 545, 510?

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 457, 884, 952, 545, 510.

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}.