Given numbers are 273,162,349,756,704

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

The LCM of 273,162,349,756,704 is 1811025216.

Find LCM of 273,162,349,756,704 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 7 x 13 x 3 x 349 x 1 x 176 = 1811025216

Therefore, the lowest common multiple of 273,162,349,756,704 is 1811025216.

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.

273 x 162 x 349 x 756 x 704 = 8214810379776

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

349 : 1, 349

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,162,349,756,704, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

162:2x 3x 3x 3x 3

349:349

756:2x 2x 3x 3x 3x 7

704:2x 2x 2x 2x 2x 2x 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 3x 3x 3x 3x 7 = 4536

Therefore, the value for common factors is 4536.

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 = 8214810379776/(1x4536)

LCM = 8214810379776/4536

LCM = 1811025216

Thus, we can understand that the LCM of 273,162,349,756,704 is 1811025216.

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

• LCM of 979, 474, 447, 434, 755
• LCM of 840, 639, 834, 729, 900
• LCM of 875, 141, 176, 215, 690
• LCM of 544, 253, 314, 602, 305
• LCM of 978, 742, 599, 177, 473

1. What is the LCM of 273, 162, 349, 756, 704?

Answer: LCM of 273, 162, 349, 756, 704 is 1811025216.

2. How to calculate the LCM of 273, 162, 349, 756, 704?

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 273, 162, 349, 756, 704.

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}.