Given numbers are 369,506,319,869

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

The LCM of 369,506,319,869 is 427761774.

Find LCM of 369,506,319,869 with Prime Factorization

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

11 x 369 x 46 x 29 x 79 = 427761774

Therefore, the lowest common multiple of 369,506,319,869 is 427761774.

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 506 x 319 x 869 = 51759174654

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

319 : 1, 11, 29, 319

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,506,319,869, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

506:2x 11x 23

319:11x 29

869:11x 79

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 51759174654/(1x121)

LCM = 51759174654/121

LCM = 427761774

Thus, we can understand that the LCM of 369,506,319,869 is 427761774.

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

• LCM of 545, 692, 409, 816
• LCM of 278, 250, 299, 475
• LCM of 496, 738, 788, 500
• LCM of 913, 273, 227, 964
• LCM of 140, 907, 786, 969

1. What is the LCM of 369, 506, 319, 869?

Answer: LCM of 369, 506, 319, 869 is 427761774.

2. How to calculate the LCM of 369, 506, 319, 869?

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, 506, 319, 869.

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}.