Given numbers are 273,312,651,156,946

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

The LCM of 273,312,651,156,946 is 32023992.

Find LCM of 273,312,651,156,946 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 1 x 1 x 31 x 2 x 473 = 32023992

Therefore, the lowest common multiple of 273,312,651,156,946 is 32023992.

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 312 x 651 x 156 x 946 = 8183026627776

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

651 : 1, 3, 7, 21, 31, 93, 217, 651

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,312,651,156,946, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

312:2x 2x 2x 3x 13

651:3x 7x 31

156:2x 2x 3x 13

946:2x 11x 43

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 7x 13x 13 = 255528

Therefore, the value for common factors is 255528.

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 = 8183026627776/(1x255528)

LCM = 8183026627776/255528

LCM = 32023992

Thus, we can understand that the LCM of 273,312,651,156,946 is 32023992.

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

• LCM of 834, 810, 375, 215, 120
• LCM of 725, 471, 930, 663, 469
• LCM of 988, 878, 440, 567, 258
• LCM of 891, 434, 295, 962, 836
• LCM of 382, 635, 441, 847, 983

1. What is the LCM of 273, 312, 651, 156, 946?

Answer: LCM of 273, 312, 651, 156, 946 is 32023992.

2. How to calculate the LCM of 273, 312, 651, 156, 946?

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, 312, 651, 156, 946.

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}.