Given numbers are 985,305,690,722,380

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

The LCM of 985,305,690,722,380 is 5986629060.

Find LCM of 985,305,690,722,380 with Prime Factorization

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

2 x 5 x 19 x 197 x 61 x 69 x 19 x 2 = 5986629060

Therefore, the lowest common multiple of 985,305,690,722,380 is 5986629060.

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.

985 x 305 x 690 x 722 x 380 = 56872976070000

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.

985 : 1, 5, 197, 985

305 : 1, 5, 61, 305

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

722 : 1, 2, 19, 38, 361, 722

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,305,690,722,380, is 1.

Now, the common factors can be found like this.

985:5x 197

305:5x 61

690:2x 3x 5x 23

722:2x 19x 19

380:2x 2x 5x 19

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 5x 5x 5x 19 = 9500

Therefore, the value for common factors is 9500.

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 = 56872976070000/(1x9500)

LCM = 56872976070000/9500

LCM = 5986629060

Thus, we can understand that the LCM of 985,305,690,722,380 is 5986629060.

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

• LCM of 654, 942, 231, 883, 589
• LCM of 832, 296, 355, 700, 334
• LCM of 552, 621, 934, 602, 730
• LCM of 869, 318, 224, 330, 473
• LCM of 566, 925, 967, 205, 200

1. What is the LCM of 985, 305, 690, 722, 380?

Answer: LCM of 985, 305, 690, 722, 380 is 5986629060.

2. How to calculate the LCM of 985, 305, 690, 722, 380?

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 985, 305, 690, 722, 380.

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}.