Given numbers are 349,286,260,676,314

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

The LCM of 349,286,260,676,314 is 2037203740.

Find LCM of 349,286,260,676,314 with Prime Factorization

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

2 x 2 x 13 x 349 x 11 x 5 x 13 x 157 = 2037203740

Therefore, the lowest common multiple of 349,286,260,676,314 is 2037203740.

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 286 x 260 x 676 x 314 = 5508598912960

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,286,260,676,314, is 1.

Now, the common factors can be found like this.

349:349

286:2x 11x 13

260:2x 2x 5x 13

676:2x 2x 13x 13

314:2x 157

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 13x 13 = 2704

Therefore, the value for common factors is 2704.

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 = 5508598912960/(1x2704)

LCM = 5508598912960/2704

LCM = 2037203740

Thus, we can understand that the LCM of 349,286,260,676,314 is 2037203740.

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

• LCM of 203, 131, 947, 606, 513
• LCM of 705, 981, 558, 288, 908
• LCM of 847, 835, 426, 195, 961
• LCM of 573, 324, 644, 231, 141
• LCM of 222, 137, 186, 326, 377

1. What is the LCM of 349, 286, 260, 676, 314?

Answer: LCM of 349, 286, 260, 676, 314 is 2037203740.

2. How to calculate the LCM of 349, 286, 260, 676, 314?

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, 286, 260, 676, 314.

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}.