Given numbers are 369,238,516,501

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

The LCM of 369,238,516,501 is 1261299564.

Find LCM of 369,238,516,501 with Prime Factorization

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

2 x 3 x 123 x 119 x 86 x 167 = 1261299564

Therefore, the lowest common multiple of 369,238,516,501 is 1261299564.

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.

369 x 238 x 516 x 501 = 22703392152

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.

369 : 1, 3, 9, 41, 123, 369

238 : 1, 2, 7, 14, 17, 34, 119, 238

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,238,516,501, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

238:2x 7x 17

516:2x 2x 3x 43

501:3x 167

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 22703392152/(1x18)

LCM = 22703392152/18

LCM = 1261299564

Thus, we can understand that the LCM of 369,238,516,501 is 1261299564.

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

• LCM of 402, 483, 363, 150
• LCM of 101, 729, 963, 880
• LCM of 729, 298, 917, 749
• LCM of 755, 671, 205, 123
• LCM of 852, 441, 933, 835

1. What is the LCM of 369, 238, 516, 501?

Answer: LCM of 369, 238, 516, 501 is 1261299564.

2. How to calculate the LCM of 369, 238, 516, 501?

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 369, 238, 516, 501.

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}.