Given numbers are 495,237,142,272

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

The LCM of 495,237,142,272 is 755195760.

Find LCM of 495,237,142,272 with Prime Factorization

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

2 x 3 x 165 x 79 x 71 x 136 = 755195760

Therefore, the lowest common multiple of 495,237,142,272 is 755195760.

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.

495 x 237 x 142 x 272 = 4531174560

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

237 : 1, 3, 79, 237

142 : 1, 2, 71, 142

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,237,142,272, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

237:3x 79

142:2x 71

272:2x 2x 2x 2x 17

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4531174560/(1x6)

LCM = 4531174560/6

LCM = 755195760

Thus, we can understand that the LCM of 495,237,142,272 is 755195760.

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

• LCM of 470, 384, 157, 872
• LCM of 207, 289, 294, 611
• LCM of 323, 234, 568, 796
• LCM of 342, 550, 422, 472
• LCM of 970, 637, 166, 888

1. What is the LCM of 495, 237, 142, 272?

Answer: LCM of 495, 237, 142, 272 is 755195760.

2. How to calculate the LCM of 495, 237, 142, 272?

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 495, 237, 142, 272.

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}.