Given numbers are 749,198,814,635

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

The LCM of 749,198,814,635 is 3484355490.

Find LCM of 749,198,814,635 with Prime Factorization

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

2 x 11 x 749 x 9 x 37 x 635 = 3484355490

Therefore, the lowest common multiple of 749,198,814,635 is 3484355490.

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.

749 x 198 x 814 x 635 = 76655820780

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.

749 : 1, 7, 107, 749

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

814 : 1, 2, 11, 22, 37, 74, 407, 814

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,198,814,635, is 1.

Now, the common factors can be found like this.

749:7x 107

198:2x 3x 3x 11

814:2x 11x 37

635:5x 127

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 76655820780/(1x22)

LCM = 76655820780/22

LCM = 3484355490

Thus, we can understand that the LCM of 749,198,814,635 is 3484355490.

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

• LCM of 730, 751, 848, 679
• LCM of 164, 484, 413, 423
• LCM of 925, 251, 321, 842
• LCM of 548, 354, 794, 712
• LCM of 393, 292, 846, 762

1. What is the LCM of 749, 198, 814, 635?

Answer: LCM of 749, 198, 814, 635 is 3484355490.

2. How to calculate the LCM of 749, 198, 814, 635?

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 749, 198, 814, 635.

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}.