Given numbers are 935,715,214,532,149

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

The LCM of 935,715,214,532,149 is 103094771780.

Find LCM of 935,715,214,532,149 with Prime Factorization

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

2 x 5 x 11 x 17 x 13 x 107 x 266 x 149 = 103094771780

Therefore, the lowest common multiple of 935,715,214,532,149 is 103094771780.

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.

935 x 715 x 214 x 532 x 149 = 11340424895800

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

715 : 1, 5, 11, 13, 55, 65, 143, 715

214 : 1, 2, 107, 214

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

149 : 1, 149

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,715,214,532,149, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

715:5x 11x 13

214:2x 107

532:2x 2x 7x 19

149:149

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 11340424895800/(1x110)

LCM = 11340424895800/110

LCM = 103094771780

Thus, we can understand that the LCM of 935,715,214,532,149 is 103094771780.

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

• LCM of 849, 184, 518, 835, 628
• LCM of 801, 597, 142, 248, 564
• LCM of 712, 354, 654, 995, 570
• LCM of 802, 157, 434, 454, 993
• LCM of 335, 511, 640, 950, 775

1. What is the LCM of 935, 715, 214, 532, 149?

Answer: LCM of 935, 715, 214, 532, 149 is 103094771780.

2. How to calculate the LCM of 935, 715, 214, 532, 149?

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 935, 715, 214, 532, 149.

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}.