Given numbers are 674,320,985,170

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

The LCM of 674,320,985,170 is 361156160.

Find LCM of 674,320,985,170 with Prime Factorization

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

2 x 5 x 337 x 32 x 197 x 17 = 361156160

Therefore, the lowest common multiple of 674,320,985,170 is 361156160.

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.

674 x 320 x 985 x 170 = 36115616000

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.

674 : 1, 2, 337, 674

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

985 : 1, 5, 197, 985

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,320,985,170, is 1.

Now, the common factors can be found like this.

674:2x 337

320:2x 2x 2x 2x 2x 2x 5

985:5x 197

170:2x 5x 17

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 5 = 100

Therefore, the value for common factors is 100.

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 = 36115616000/(1x100)

LCM = 36115616000/100

LCM = 361156160

Thus, we can understand that the LCM of 674,320,985,170 is 361156160.

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

• LCM of 955, 372, 822, 338
• LCM of 804, 190, 253, 921
• LCM of 565, 235, 388, 199
• LCM of 618, 870, 714, 931
• LCM of 731, 197, 315, 797

1. What is the LCM of 674, 320, 985, 170?

Answer: LCM of 674, 320, 985, 170 is 361156160.

2. How to calculate the LCM of 674, 320, 985, 170?

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 674, 320, 985, 170.

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}.