Given numbers are 400,269,176,506,728

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

The LCM of 400,269,176,506,728 is 2477274800.

Find LCM of 400,269,176,506,728 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 25 x 269 x 1 x 23 x 91 = 2477274800

Therefore, the lowest common multiple of 400,269,176,506,728 is 2477274800.

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.

400 x 269 x 176 x 506 x 728 = 6976005836800

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.

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

269 : 1, 269

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

506 : 1, 2, 11, 22, 23, 46, 253, 506

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,269,176,506,728, is 1.

Now, the common factors can be found like this.

400:2x 2x 2x 2x 5x 5

269:269

176:2x 2x 2x 2x 11

506:2x 11x 23

728:2x 2x 2x 7x 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 2x 2x 2x 2x 2x 2x 2x 11 = 2816

Therefore, the value for common factors is 2816.

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 = 6976005836800/(1x2816)

LCM = 6976005836800/2816

LCM = 2477274800

Thus, we can understand that the LCM of 400,269,176,506,728 is 2477274800.

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

• LCM of 531, 519, 907, 689, 500
• LCM of 338, 874, 746, 571, 996
• LCM of 933, 149, 962, 618, 582
• LCM of 610, 596, 617, 570, 340
• LCM of 903, 836, 574, 129, 362

1. What is the LCM of 400, 269, 176, 506, 728?

Answer: LCM of 400, 269, 176, 506, 728 is 2477274800.

2. How to calculate the LCM of 400, 269, 176, 506, 728?

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 400, 269, 176, 506, 728.

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}.