Given numbers are 214,689,432,763,535

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

The LCM of 214,689,432,763,535 is 121501401840.

Find LCM of 214,689,432,763,535 with Prime Factorization

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

2 x 107 x 1 x 689 x 216 x 763 x 5 = 121501401840

Therefore, the lowest common multiple of 214,689,432,763,535 is 121501401840.

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.

214 x 689 x 432 x 763 x 535 = 26001299993760

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.

214 : 1, 2, 107, 214

689 : 1, 13, 53, 689

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

763 : 1, 7, 109, 763

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,689,432,763,535, is 1.

Now, the common factors can be found like this.

214:2x 107

689:13x 53

432:2x 2x 2x 2x 3x 3x 3

763:7x 109

535:5x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 26001299993760/(1x214)

LCM = 26001299993760/214

LCM = 121501401840

Thus, we can understand that the LCM of 214,689,432,763,535 is 121501401840.

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

• LCM of 342, 741, 312, 907, 676
• LCM of 577, 599, 678, 945, 971
• LCM of 606, 782, 653, 537, 268
• LCM of 651, 704, 994, 359, 748
• LCM of 408, 116, 591, 590, 891

1. What is the LCM of 214, 689, 432, 763, 535?

Answer: LCM of 214, 689, 432, 763, 535 is 121501401840.

2. How to calculate the LCM of 214, 689, 432, 763, 535?

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 214, 689, 432, 763, 535.

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}.