Given numbers are 651,590,319,490,728

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

The LCM of 651,590,319,490,728 is 44598994440.

Find LCM of 651,590,319,490,728 with Prime Factorization

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

2 x 5 x 7 x 93 x 59 x 319 x 7 x 52 = 44598994440

Therefore, the lowest common multiple of 651,590,319,490,728 is 44598994440.

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.

651 x 590 x 319 x 490 x 728 = 43707014551200

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

590 : 1, 2, 5, 10, 59, 118, 295, 590

319 : 1, 11, 29, 319

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 651,590,319,490,728, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

590:2x 5x 59

319:11x 29

490:2x 5x 7x 7

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 5x 7x 7 = 980

Therefore, the value for common factors is 980.

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 = 43707014551200/(1x980)

LCM = 43707014551200/980

LCM = 44598994440

Thus, we can understand that the LCM of 651,590,319,490,728 is 44598994440.

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

• LCM of 111, 753, 243, 828, 799
• LCM of 249, 817, 911, 115, 654
• LCM of 828, 829, 965, 761, 522
• LCM of 662, 427, 857, 933, 963
• LCM of 785, 813, 482, 156, 111

1. What is the LCM of 651, 590, 319, 490, 728?

Answer: LCM of 651, 590, 319, 490, 728 is 44598994440.

2. How to calculate the LCM of 651, 590, 319, 490, 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 651, 590, 319, 490, 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}.