Given numbers are 950,312,709,988,728

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

The LCM of 950,312,709,988,728 is 735516600.

Find LCM of 950,312,709,988,728 with Prime Factorization

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

2 x 2 x 2 x 13 x 19 x 25 x 3 x 709 x 1 x 7 = 735516600

Therefore, the lowest common multiple of 950,312,709,988,728 is 735516600.

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.

950 x 312 x 709 x 988 x 728 = 151151603366400

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.

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

709 : 1, 709

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 950,312,709,988,728, is 1.

Now, the common factors can be found like this.

950:2x 5x 5x 19

312:2x 2x 2x 3x 13

709:709

988:2x 2x 13x 19

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 2x 2x 2x 2x 13x 13x 19 = 205504

Therefore, the value for common factors is 205504.

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 = 151151603366400/(1x205504)

LCM = 151151603366400/205504

LCM = 735516600

Thus, we can understand that the LCM of 950,312,709,988,728 is 735516600.

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

• LCM of 820, 632, 348, 607, 127
• LCM of 815, 810, 114, 195, 514
• LCM of 519, 248, 482, 934, 682
• LCM of 496, 218, 808, 187, 567
• LCM of 933, 363, 206, 892, 841

1. What is the LCM of 950, 312, 709, 988, 728?

Answer: LCM of 950, 312, 709, 988, 728 is 735516600.

2. How to calculate the LCM of 950, 312, 709, 988, 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 950, 312, 709, 988, 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}.