Given numbers are 728,546,131,860

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

The LCM of 728,546,131,860 is 61512360.

Find LCM of 728,546,131,860 with Prime Factorization

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

2 x 2 x 7 x 13 x 2 x 3 x 131 x 215 = 61512360

Therefore, the lowest common multiple of 728,546,131,860 is 61512360.

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 546 x 131 x 860 = 44780998080

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

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

131 : 1, 131

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,546,131,860, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

546:2x 3x 7x 13

131:131

860:2x 2x 5x 43

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 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 44780998080/(1x728)

LCM = 44780998080/728

LCM = 61512360

Thus, we can understand that the LCM of 728,546,131,860 is 61512360.

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

• LCM of 953, 210, 102, 388
• LCM of 483, 796, 563, 693
• LCM of 840, 922, 922, 287
• LCM of 184, 592, 768, 384
• LCM of 895, 744, 458, 200

1. What is the LCM of 728, 546, 131, 860?

Answer: LCM of 728, 546, 131, 860 is 61512360.

2. How to calculate the LCM of 728, 546, 131, 860?

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, 546, 131, 860.

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}.