Given numbers are 986,514,412,145

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

The LCM of 986,514,412,145 is 261004060.

Find LCM of 986,514,412,145 with Prime Factorization

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

2 x 29 x 17 x 257 x 206 x 5 = 261004060

Therefore, the lowest common multiple of 986,514,412,145 is 261004060.

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.

986 x 514 x 412 x 145 = 30276470960

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

514 : 1, 2, 257, 514

412 : 1, 2, 4, 103, 206, 412

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,514,412,145, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

514:2x 257

412:2x 2x 103

145:5x 29

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 29 = 116

Therefore, the value for common factors is 116.

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 = 30276470960/(1x116)

LCM = 30276470960/116

LCM = 261004060

Thus, we can understand that the LCM of 986,514,412,145 is 261004060.

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

• LCM of 492, 507, 240, 774
• LCM of 904, 472, 203, 668
• LCM of 858, 989, 327, 314
• LCM of 285, 219, 512, 719
• LCM of 500, 261, 949, 550

1. What is the LCM of 986, 514, 412, 145?

Answer: LCM of 986, 514, 412, 145 is 261004060.

2. How to calculate the LCM of 986, 514, 412, 145?

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 986, 514, 412, 145.

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}.