Given numbers are 392,334,350,924,859

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

The LCM of 392,334,350,924,859 is 46392700200.

Find LCM of 392,334,350,924,859 with Prime Factorization

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

2 x 2 x 7 x 14 x 167 x 25 x 33 x 859 = 46392700200

Therefore, the lowest common multiple of 392,334,350,924,859 is 46392700200.

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.

392 x 334 x 350 x 924 x 859 = 36371876956800

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

334 : 1, 2, 167, 334

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,334,350,924,859, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

334:2x 167

350:2x 5x 5x 7

924:2x 2x 3x 7x 11

859:859

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 36371876956800/(1x784)

LCM = 36371876956800/784

LCM = 46392700200

Thus, we can understand that the LCM of 392,334,350,924,859 is 46392700200.

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

• LCM of 751, 312, 851, 204, 153
• LCM of 959, 749, 203, 605, 289
• LCM of 108, 985, 620, 752, 379
• LCM of 213, 699, 639, 786, 100
• LCM of 374, 428, 516, 607, 350

1. What is the LCM of 392, 334, 350, 924, 859?

Answer: LCM of 392, 334, 350, 924, 859 is 46392700200.

2. How to calculate the LCM of 392, 334, 350, 924, 859?

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 392, 334, 350, 924, 859.

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}.