Given numbers are 535,840,349,687

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

The LCM of 535,840,349,687 is 7183299480.

Find LCM of 535,840,349,687 with Prime Factorization

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

3 x 5 x 107 x 56 x 349 x 229 = 7183299480

Therefore, the lowest common multiple of 535,840,349,687 is 7183299480.

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.

535 x 840 x 349 x 687 = 107749492200

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.

535 : 1, 5, 107, 535

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

349 : 1, 349

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,840,349,687, is 1.

Now, the common factors can be found like this.

535:5x 107

840:2x 2x 2x 3x 5x 7

349:349

687:3x 229

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 107749492200/(1x15)

LCM = 107749492200/15

LCM = 7183299480

Thus, we can understand that the LCM of 535,840,349,687 is 7183299480.

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

• LCM of 289, 388, 789, 459
• LCM of 320, 488, 345, 484
• LCM of 895, 775, 849, 292
• LCM of 788, 296, 951, 435
• LCM of 222, 256, 339, 543

1. What is the LCM of 535, 840, 349, 687?

Answer: LCM of 535, 840, 349, 687 is 7183299480.

2. How to calculate the LCM of 535, 840, 349, 687?

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 535, 840, 349, 687.

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}.