Given numbers are 576,403,546,937,130

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

The LCM of 576,403,546,937,130 is 7612637760.

Find LCM of 576,403,546,937,130 with Prime Factorization

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

2 x 3 x 13 x 96 x 31 x 7 x 937 x 5 = 7612637760

Therefore, the lowest common multiple of 576,403,546,937,130 is 7612637760.

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.

576 x 403 x 546 x 937 x 130 = 15438429377280

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

403 : 1, 13, 31, 403

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

937 : 1, 937

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,403,546,937,130, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

403:13x 31

546:2x 3x 7x 13

937:937

130:2x 5x 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 3x 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 15438429377280/(1x2028)

LCM = 15438429377280/2028

LCM = 7612637760

Thus, we can understand that the LCM of 576,403,546,937,130 is 7612637760.

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

• LCM of 621, 229, 198, 446, 484
• LCM of 598, 139, 712, 188, 300
• LCM of 581, 260, 833, 408, 518
• LCM of 823, 755, 682, 359, 569
• LCM of 359, 282, 442, 991, 852

1. What is the LCM of 576, 403, 546, 937, 130?

Answer: LCM of 576, 403, 546, 937, 130 is 7612637760.

2. How to calculate the LCM of 576, 403, 546, 937, 130?

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 576, 403, 546, 937, 130.

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}.