Given numbers are 351,338,327,740,840

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

The LCM of 351,338,327,740,840 is 5152722120.

Find LCM of 351,338,327,740,840 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 9 x 13 x 109 x 37 x 14 = 5152722120

Therefore, the lowest common multiple of 351,338,327,740,840 is 5152722120.

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.

351 x 338 x 327 x 740 x 840 = 24114739521600

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

338 : 1, 2, 13, 26, 169, 338

327 : 1, 3, 109, 327

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,338,327,740,840, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

338:2x 13x 13

327:3x 109

740:2x 2x 5x 37

840:2x 2x 2x 3x 5x 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 3x 5x 13 = 4680

Therefore, the value for common factors is 4680.

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 = 24114739521600/(1x4680)

LCM = 24114739521600/4680

LCM = 5152722120

Thus, we can understand that the LCM of 351,338,327,740,840 is 5152722120.

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

• LCM of 741, 902, 233, 737, 192
• LCM of 676, 359, 761, 358, 994
• LCM of 242, 406, 137, 424, 955
• LCM of 310, 899, 481, 368, 256
• LCM of 518, 368, 243, 804, 596

1. What is the LCM of 351, 338, 327, 740, 840?

Answer: LCM of 351, 338, 327, 740, 840 is 5152722120.

2. How to calculate the LCM of 351, 338, 327, 740, 840?

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 351, 338, 327, 740, 840.

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}.