Given numbers are 992,279,149,421

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

The LCM of 992,279,149,421 is 560044512.

Find LCM of 992,279,149,421 with Prime Factorization

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

31 x 32 x 9 x 149 x 421 = 560044512

Therefore, the lowest common multiple of 992,279,149,421 is 560044512.

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.

992 x 279 x 149 x 421 = 17361379872

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.

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

279 : 1, 3, 9, 31, 93, 279

149 : 1, 149

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,279,149,421, is 1.

Now, the common factors can be found like this.

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

279:3x 3x 31

149:149

421:421

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

31 = 31

Therefore, the value for common factors is 31.

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 = 17361379872/(1x31)

LCM = 17361379872/31

LCM = 560044512

Thus, we can understand that the LCM of 992,279,149,421 is 560044512.

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

• LCM of 647, 607, 557, 602
• LCM of 970, 150, 151, 280
• LCM of 204, 213, 685, 221
• LCM of 366, 451, 396, 209
• LCM of 825, 930, 738, 100

1. What is the LCM of 992, 279, 149, 421?

Answer: LCM of 992, 279, 149, 421 is 560044512.

2. How to calculate the LCM of 992, 279, 149, 421?

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 992, 279, 149, 421.

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}.