Given numbers are 144,930,462,274,858

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

The LCM of 144,930,462,274,858 is 3060897840.

Find LCM of 144,930,462,274,858 with Prime Factorization

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

2 x 3 x 11 x 24 x 155 x 7 x 137 x 13 = 3060897840

Therefore, the lowest common multiple of 144,930,462,274,858 is 3060897840.

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.

144 x 930 x 462 x 274 x 858 = 14545386535680

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

274 : 1, 2, 137, 274

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,930,462,274,858, is 2.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

930:2x 3x 5x 31

462:2x 3x 7x 11

274:2x 137

858:2x 3x 11x 13

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 11 = 2376

Therefore, the value for common factors is 2376.

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 = 14545386535680/(2x2376)

LCM = 14545386535680/4752

LCM = 3060897840

Thus, we can understand that the LCM of 144,930,462,274,858 is 3060897840.

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

• LCM of 888, 802, 242, 641, 892
• LCM of 645, 690, 516, 439, 189
• LCM of 710, 915, 870, 637, 744
• LCM of 634, 651, 566, 724, 284
• LCM of 978, 181, 196, 215, 409

1. What is the LCM of 144, 930, 462, 274, 858?

Answer: LCM of 144, 930, 462, 274, 858 is 3060897840.

2. How to calculate the LCM of 144, 930, 462, 274, 858?

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 144, 930, 462, 274, 858.

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}.