Given numbers are 461,428,368,452,101

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

The LCM of 461,428,368,452,101 is 207172610768.

Find LCM of 461,428,368,452,101 with Prime Factorization

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

2 x 2 x 461 x 107 x 92 x 113 x 101 = 207172610768

Therefore, the lowest common multiple of 461,428,368,452,101 is 207172610768.

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.

461 x 428 x 368 x 452 x 101 = 3314761772288

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.

461 : 1, 461

428 : 1, 2, 4, 107, 214, 428

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

452 : 1, 2, 4, 113, 226, 452

101 : 1, 101

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,428,368,452,101, is 1.

Now, the common factors can be found like this.

461:461

428:2x 2x 107

368:2x 2x 2x 2x 23

452:2x 2x 113

101:101

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3314761772288/(1x16)

LCM = 3314761772288/16

LCM = 207172610768

Thus, we can understand that the LCM of 461,428,368,452,101 is 207172610768.

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

• LCM of 997, 679, 693, 186, 136
• LCM of 501, 824, 616, 528, 660
• LCM of 971, 993, 561, 141, 252
• LCM of 858, 218, 694, 131, 759
• LCM of 527, 329, 398, 607, 564

1. What is the LCM of 461, 428, 368, 452, 101?

Answer: LCM of 461, 428, 368, 452, 101 is 207172610768.

2. How to calculate the LCM of 461, 428, 368, 452, 101?

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 461, 428, 368, 452, 101.

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}.