Given numbers are 728,351,761,658,752

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

The LCM of 728,351,761,658,752 is 1406072304.

Find LCM of 728,351,761,658,752 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 47 x 1 x 27 x 761 x 1 x 2 = 1406072304

Therefore, the lowest common multiple of 728,351,761,658,752 is 1406072304.

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.

728 x 351 x 761 x 658 x 752 = 96220339907328

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.

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

761 : 1, 761

658 : 1, 2, 7, 14, 47, 94, 329, 658

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,351,761,658,752, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

351:3x 3x 3x 13

761:761

658:2x 7x 47

752:2x 2x 2x 2x 47

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 7x 13x 47 = 68432

Therefore, the value for common factors is 68432.

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 = 96220339907328/(1x68432)

LCM = 96220339907328/68432

LCM = 1406072304

Thus, we can understand that the LCM of 728,351,761,658,752 is 1406072304.

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

• LCM of 111, 557, 922, 766, 459
• LCM of 363, 243, 284, 969, 584
• LCM of 919, 692, 599, 994, 770
• LCM of 171, 514, 929, 857, 614
• LCM of 225, 645, 761, 511, 895

1. What is the LCM of 728, 351, 761, 658, 752?

Answer: LCM of 728, 351, 761, 658, 752 is 1406072304.

2. How to calculate the LCM of 728, 351, 761, 658, 752?

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 728, 351, 761, 658, 752.

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}.