Given numbers are 530,728,618,521,748

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

The LCM of 530,728,618,521,748 is 5807845603560.

Find LCM of 530,728,618,521,748 with Prime Factorization

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

2 x 2 x 265 x 182 x 309 x 521 x 187 = 5807845603560

Therefore, the lowest common multiple of 530,728,618,521,748 is 5807845603560.

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.

530 x 728 x 618 x 521 x 748 = 92925529656960

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

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

618 : 1, 2, 3, 6, 103, 206, 309, 618

521 : 1, 521

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,728,618,521,748, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

728:2x 2x 2x 7x 13

618:2x 3x 103

521:521

748:2x 2x 11x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 92925529656960/(1x16)

LCM = 92925529656960/16

LCM = 5807845603560

Thus, we can understand that the LCM of 530,728,618,521,748 is 5807845603560.

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

• LCM of 415, 301, 231, 580, 116
• LCM of 958, 213, 761, 146, 262
• LCM of 790, 910, 726, 815, 197
• LCM of 964, 182, 348, 915, 710
• LCM of 554, 125, 871, 844, 729

1. What is the LCM of 530, 728, 618, 521, 748?

Answer: LCM of 530, 728, 618, 521, 748 is 5807845603560.

2. How to calculate the LCM of 530, 728, 618, 521, 748?

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 530, 728, 618, 521, 748.

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}.