Given numbers are 953,728,798,133,700

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

The LCM of 953,728,798,133,700 is 988642200.

Find LCM of 953,728,798,133,700 with Prime Factorization

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

2 x 2 x 7 x 19 x 953 x 26 x 3 x 1 x 25 = 988642200

Therefore, the lowest common multiple of 953,728,798,133,700 is 988642200.

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.

953 x 728 x 798 x 133 x 700 = 51543849739200

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.

953 : 1, 953

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

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

133 : 1, 7, 19, 133

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,728,798,133,700, is 1.

Now, the common factors can be found like this.

953:953

728:2x 2x 2x 7x 13

798:2x 3x 7x 19

133:7x 19

700:2x 2x 5x 5x 7

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 7x 7x 19 = 52136

Therefore, the value for common factors is 52136.

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 = 51543849739200/(1x52136)

LCM = 51543849739200/52136

LCM = 988642200

Thus, we can understand that the LCM of 953,728,798,133,700 is 988642200.

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

• LCM of 121, 557, 103, 582, 593
• LCM of 261, 683, 652, 317, 250
• LCM of 177, 509, 845, 532, 966
• LCM of 478, 870, 137, 406, 782
• LCM of 345, 569, 398, 453, 622

1. What is the LCM of 953, 728, 798, 133, 700?

Answer: LCM of 953, 728, 798, 133, 700 is 988642200.

2. How to calculate the LCM of 953, 728, 798, 133, 700?

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 953, 728, 798, 133, 700.

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}.