Given numbers are 349,506,103,309

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

The LCM of 349,506,103,309 is 54567546.

Find LCM of 349,506,103,309 with Prime Factorization

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

103 x 349 x 506 x 1 x 3 = 54567546

Therefore, the lowest common multiple of 349,506,103,309 is 54567546.

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.

349 x 506 x 103 x 309 = 5620457238

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.

349 : 1, 349

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

103 : 1, 103

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,506,103,309, is 1.

Now, the common factors can be found like this.

349:349

506:2x 11x 23

103:103

309:3x 103

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

103 = 103

Therefore, the value for common factors is 103.

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 = 5620457238/(1x103)

LCM = 5620457238/103

LCM = 54567546

Thus, we can understand that the LCM of 349,506,103,309 is 54567546.

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

• LCM of 406, 460, 675, 514
• LCM of 248, 523, 725, 896
• LCM of 925, 497, 733, 969
• LCM of 620, 238, 274, 973
• LCM of 777, 886, 937, 658

1. What is the LCM of 349, 506, 103, 309?

Answer: LCM of 349, 506, 103, 309 is 54567546.

2. How to calculate the LCM of 349, 506, 103, 309?

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 349, 506, 103, 309.

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}.