Given numbers are 453,101,820,272,378

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

The LCM of 453,101,820,272,378 is 160724798640.

Find LCM of 453,101,820,272,378 with Prime Factorization

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

2 x 2 x 3 x 151 x 101 x 205 x 68 x 63 = 160724798640

Therefore, the lowest common multiple of 453,101,820,272,378 is 160724798640.

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.

453 x 101 x 820 x 272 x 378 = 3857395167360

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.

453 : 1, 3, 151, 453

101 : 1, 101

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,101,820,272,378, is 1.

Now, the common factors can be found like this.

453:3x 151

101:101

820:2x 2x 5x 41

272:2x 2x 2x 2x 17

378:2x 3x 3x 3x 7

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 3 = 24

Therefore, the value for common factors is 24.

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 = 3857395167360/(1x24)

LCM = 3857395167360/24

LCM = 160724798640

Thus, we can understand that the LCM of 453,101,820,272,378 is 160724798640.

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

• LCM of 222, 753, 523, 771, 339
• LCM of 636, 284, 221, 495, 893
• LCM of 919, 985, 284, 805, 485
• LCM of 368, 674, 424, 828, 133
• LCM of 263, 454, 841, 242, 389

1. What is the LCM of 453, 101, 820, 272, 378?

Answer: LCM of 453, 101, 820, 272, 378 is 160724798640.

2. How to calculate the LCM of 453, 101, 820, 272, 378?

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 453, 101, 820, 272, 378.

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}.