Given numbers are 390,336,690,994,354

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

The LCM of 390,336,690,994,354 is 2104218480.

Find LCM of 390,336,690,994,354 with Prime Factorization

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

2 x 3 x 5 x 7 x 13 x 8 x 23 x 71 x 59 = 2104218480

Therefore, the lowest common multiple of 390,336,690,994,354 is 2104218480.

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.

390 x 336 x 690 x 994 x 354 = 31815783417600

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

994 : 1, 2, 7, 14, 71, 142, 497, 994

354 : 1, 2, 3, 6, 59, 118, 177, 354

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,336,690,994,354, is 2.

Now, the common factors can be found like this.

390:2x 3x 5x 13

336:2x 2x 2x 2x 3x 7

690:2x 3x 5x 23

994:2x 7x 71

354:2x 3x 59

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 5x 7 = 7560

Therefore, the value for common factors is 7560.

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 = 31815783417600/(2x7560)

LCM = 31815783417600/15120

LCM = 2104218480

Thus, we can understand that the LCM of 390,336,690,994,354 is 2104218480.

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

• LCM of 905, 374, 278, 866, 836
• LCM of 282, 769, 240, 420, 896
• LCM of 118, 366, 817, 515, 642
• LCM of 605, 151, 795, 736, 910
• LCM of 123, 141, 619, 390, 327

1. What is the LCM of 390, 336, 690, 994, 354?

Answer: LCM of 390, 336, 690, 994, 354 is 2104218480.

2. How to calculate the LCM of 390, 336, 690, 994, 354?

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 390, 336, 690, 994, 354.

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}.