Given numbers are 392,426,992,326,951

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

The LCM of 392,426,992,326,951 is 534975905184.

Find LCM of 392,426,992,326,951 with Prime Factorization

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

2 x 2 x 2 x 3 x 49 x 71 x 124 x 163 x 317 = 534975905184

Therefore, the lowest common multiple of 392,426,992,326,951 is 534975905184.

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 426 x 992 x 326 x 951 = 51357686897664

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

426 : 1, 2, 3, 6, 71, 142, 213, 426

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

326 : 1, 2, 163, 326

951 : 1, 3, 317, 951

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,426,992,326,951, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

426:2x 3x 71

992:2x 2x 2x 2x 2x 31

326:2x 163

951:3x 317

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 51357686897664/(1x96)

LCM = 51357686897664/96

LCM = 534975905184

Thus, we can understand that the LCM of 392,426,992,326,951 is 534975905184.

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

• LCM of 309, 581, 860, 333, 370
• LCM of 751, 941, 734, 141, 322
• LCM of 274, 337, 277, 843, 920
• LCM of 885, 955, 143, 769, 559
• LCM of 970, 996, 965, 599, 382

1. What is the LCM of 392, 426, 992, 326, 951?

Answer: LCM of 392, 426, 992, 326, 951 is 534975905184.

2. How to calculate the LCM of 392, 426, 992, 326, 951?

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, 426, 992, 326, 951.

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}.