Given numbers are 540,774,460,691,198

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

The LCM of 540,774,460,691,198 is 4059390060.

Find LCM of 540,774,460,691,198 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 3 x 43 x 23 x 691 x 11 = 4059390060

Therefore, the lowest common multiple of 540,774,460,691,198 is 4059390060.

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.

540 x 774 x 460 x 691 x 198 = 26304847588800

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

691 : 1, 691

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,774,460,691,198, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

774:2x 3x 3x 43

460:2x 2x 5x 23

691:691

198:2x 3x 3x 11

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

2x 2x 2x 2x 3x 3x 3x 3x 5 = 6480

Therefore, the value for common factors is 6480.

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 = 26304847588800/(1x6480)

LCM = 26304847588800/6480

LCM = 4059390060

Thus, we can understand that the LCM of 540,774,460,691,198 is 4059390060.

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

• LCM of 737, 654, 467, 219, 217
• LCM of 787, 881, 749, 355, 753
• LCM of 165, 443, 394, 641, 517
• LCM of 665, 180, 730, 778, 951
• LCM of 243, 118, 348, 915, 478

1. What is the LCM of 540, 774, 460, 691, 198?

Answer: LCM of 540, 774, 460, 691, 198 is 4059390060.

2. How to calculate the LCM of 540, 774, 460, 691, 198?

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 540, 774, 460, 691, 198.

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}.