Given numbers are 348,685,780,750,138

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

The LCM of 348,685,780,750,138 is 1781890500.

Find LCM of 348,685,780,750,138 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 137 x 13 x 25 x 23 = 1781890500

Therefore, the lowest common multiple of 348,685,780,750,138 is 1781890500.

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.

348 x 685 x 780 x 750 x 138 = 19244417400000

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

685 : 1, 5, 137, 685

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,685,780,750,138, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

685:5x 137

780:2x 2x 3x 5x 13

750:2x 3x 5x 5x 5

138:2x 3x 23

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 2x 3x 3x 3x 5x 5 = 10800

Therefore, the value for common factors is 10800.

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 = 19244417400000/(1x10800)

LCM = 19244417400000/10800

LCM = 1781890500

Thus, we can understand that the LCM of 348,685,780,750,138 is 1781890500.

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

• LCM of 345, 470, 558, 174, 609
• LCM of 221, 105, 181, 836, 944
• LCM of 739, 976, 168, 881, 205
• LCM of 542, 331, 603, 334, 497
• LCM of 955, 826, 113, 786, 319

1. What is the LCM of 348, 685, 780, 750, 138?

Answer: LCM of 348, 685, 780, 750, 138 is 1781890500.

2. How to calculate the LCM of 348, 685, 780, 750, 138?

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 348, 685, 780, 750, 138.

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}.