Given numbers are 981,305,202,978

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

The LCM of 981,305,202,978 is 9851623830.

Find LCM of 981,305,202,978 with Prime Factorization

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

2 x 3 x 327 x 305 x 101 x 163 = 9851623830

Therefore, the lowest common multiple of 981,305,202,978 is 9851623830.

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.

981 x 305 x 202 x 978 = 59109742980

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.

981 : 1, 3, 9, 109, 327, 981

305 : 1, 5, 61, 305

202 : 1, 2, 101, 202

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,305,202,978, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

305:5x 61

202:2x 101

978:2x 3x 163

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 59109742980/(1x6)

LCM = 59109742980/6

LCM = 9851623830

Thus, we can understand that the LCM of 981,305,202,978 is 9851623830.

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

• LCM of 305, 343, 593, 859
• LCM of 425, 312, 585, 365
• LCM of 770, 986, 396, 285
• LCM of 510, 628, 488, 499
• LCM of 317, 287, 733, 291

1. What is the LCM of 981, 305, 202, 978?

Answer: LCM of 981, 305, 202, 978 is 9851623830.

2. How to calculate the LCM of 981, 305, 202, 978?

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 981, 305, 202, 978.

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}.