Given numbers are 545,408,748,524,484

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

The LCM of 545,408,748,524,484 is 3524628360.

Find LCM of 545,408,748,524,484 with Prime Factorization

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

2 x 2 x 11 x 17 x 545 x 6 x 1 x 131 x 11 = 3524628360

Therefore, the lowest common multiple of 545,408,748,524,484 is 3524628360.

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.

545 x 408 x 748 x 524 x 484 = 42182752212480

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.

545 : 1, 5, 109, 545

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

524 : 1, 2, 4, 131, 262, 524

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,408,748,524,484, is 1.

Now, the common factors can be found like this.

545:5x 109

408:2x 2x 2x 3x 17

748:2x 2x 11x 17

524:2x 2x 131

484:2x 2x 11x 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 2x 2x 11x 17 = 11968

Therefore, the value for common factors is 11968.

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 = 42182752212480/(1x11968)

LCM = 42182752212480/11968

LCM = 3524628360

Thus, we can understand that the LCM of 545,408,748,524,484 is 3524628360.

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

• LCM of 305, 973, 935, 363, 153
• LCM of 807, 300, 292, 823, 623
• LCM of 610, 106, 976, 176, 775
• LCM of 910, 569, 748, 939, 215
• LCM of 264, 633, 231, 504, 940

1. What is the LCM of 545, 408, 748, 524, 484?

Answer: LCM of 545, 408, 748, 524, 484 is 3524628360.

2. How to calculate the LCM of 545, 408, 748, 524, 484?

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 545, 408, 748, 524, 484.

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}.