Given numbers are 290,337,516,274,868

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

The LCM of 290,337,516,274,868 is 749597113860.

Find LCM of 290,337,516,274,868 with Prime Factorization

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

2 x 2 x 145 x 337 x 129 x 137 x 217 = 749597113860

Therefore, the lowest common multiple of 290,337,516,274,868 is 749597113860.

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.

290 x 337 x 516 x 274 x 868 = 11993553821760

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

337 : 1, 337

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

274 : 1, 2, 137, 274

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,337,516,274,868, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

337:337

516:2x 2x 3x 43

274:2x 137

868:2x 2x 7x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11993553821760/(1x16)

LCM = 11993553821760/16

LCM = 749597113860

Thus, we can understand that the LCM of 290,337,516,274,868 is 749597113860.

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

• LCM of 758, 776, 754, 731, 910
• LCM of 957, 283, 977, 354, 535
• LCM of 662, 687, 201, 796, 190
• LCM of 301, 610, 651, 109, 738
• LCM of 656, 209, 278, 834, 496

1. What is the LCM of 290, 337, 516, 274, 868?

Answer: LCM of 290, 337, 516, 274, 868 is 749597113860.

2. How to calculate the LCM of 290, 337, 516, 274, 868?

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 290, 337, 516, 274, 868.

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}.