Given numbers are 189,435,377,748,633

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

The LCM of 189,435,377,748,633 is 56228592420.

Find LCM of 189,435,377,748,633 with Prime Factorization

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

3 x 29 x 63 x 5 x 13 x 748 x 211 = 56228592420

Therefore, the lowest common multiple of 189,435,377,748,633 is 56228592420.

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.

189 x 435 x 377 x 748 x 633 = 14675662621620

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

435 : 1, 3, 5, 15, 29, 87, 145, 435

377 : 1, 13, 29, 377

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,435,377,748,633, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

435:3x 5x 29

377:13x 29

748:2x 2x 11x 17

633:3x 211

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

3x 3x 29 = 261

Therefore, the value for common factors is 261.

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 = 14675662621620/(1x261)

LCM = 14675662621620/261

LCM = 56228592420

Thus, we can understand that the LCM of 189,435,377,748,633 is 56228592420.

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

• LCM of 697, 572, 164, 757, 578
• LCM of 116, 463, 315, 517, 878
• LCM of 141, 600, 475, 463, 925
• LCM of 138, 435, 244, 718, 764
• LCM of 441, 164, 738, 571, 896

1. What is the LCM of 189, 435, 377, 748, 633?

Answer: LCM of 189, 435, 377, 748, 633 is 56228592420.

2. How to calculate the LCM of 189, 435, 377, 748, 633?

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 189, 435, 377, 748, 633.

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}.