Given numbers are 502,276,741,149,336

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

The LCM of 502,276,741,149,336 is 71387809584.

Find LCM of 502,276,741,149,336 with Prime Factorization

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

2 x 2 x 3 x 251 x 23 x 247 x 149 x 28 = 71387809584

Therefore, the lowest common multiple of 502,276,741,149,336 is 71387809584.

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.

502 x 276 x 741 x 149 x 336 = 5139922290048

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.

502 : 1, 2, 251, 502

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

741 : 1, 3, 13, 19, 39, 57, 247, 741

149 : 1, 149

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 502,276,741,149,336, is 1.

Now, the common factors can be found like this.

502:2x 251

276:2x 2x 3x 23

741:3x 13x 19

149:149

336:2x 2x 2x 2x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 5139922290048/(1x72)

LCM = 5139922290048/72

LCM = 71387809584

Thus, we can understand that the LCM of 502,276,741,149,336 is 71387809584.

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

• LCM of 122, 431, 281, 703, 448
• LCM of 369, 213, 429, 926, 506
• LCM of 261, 783, 536, 430, 644
• LCM of 127, 581, 874, 527, 533
• LCM of 517, 609, 771, 454, 678

1. What is the LCM of 502, 276, 741, 149, 336?

Answer: LCM of 502, 276, 741, 149, 336 is 71387809584.

2. How to calculate the LCM of 502, 276, 741, 149, 336?

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 502, 276, 741, 149, 336.

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}.