Given numbers are 902,543,232,972,642

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

The LCM of 902,543,232,972,642 is 492417130392.

Find LCM of 902,543,232,972,642 with Prime Factorization

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

2 x 2 x 3 x 451 x 181 x 58 x 81 x 107 = 492417130392

Therefore, the lowest common multiple of 902,543,232,972,642 is 492417130392.

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.

902 x 543 x 232 x 972 x 642 = 70908066776448

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

543 : 1, 3, 181, 543

232 : 1, 2, 4, 8, 29, 58, 116, 232

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,543,232,972,642, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

543:3x 181

232:2x 2x 2x 29

972:2x 2x 3x 3x 3x 3x 3

642:2x 3x 107

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 70908066776448/(1x144)

LCM = 70908066776448/144

LCM = 492417130392

Thus, we can understand that the LCM of 902,543,232,972,642 is 492417130392.

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

• LCM of 343, 760, 932, 540, 414
• LCM of 504, 621, 907, 630, 234
• LCM of 940, 747, 547, 979, 264
• LCM of 695, 588, 665, 613, 261
• LCM of 500, 686, 176, 348, 116

1. What is the LCM of 902, 543, 232, 972, 642?

Answer: LCM of 902, 543, 232, 972, 642 is 492417130392.

2. How to calculate the LCM of 902, 543, 232, 972, 642?

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 902, 543, 232, 972, 642.

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}.