Given numbers are 900,856,701,170

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

The LCM of 900,856,701,170 is 2295214200.

Find LCM of 900,856,701,170 with Prime Factorization

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

2 x 2 x 5 x 45 x 214 x 701 x 17 = 2295214200

Therefore, the lowest common multiple of 900,856,701,170 is 2295214200.

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.

900 x 856 x 701 x 170 = 91808568000

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

856 : 1, 2, 4, 8, 107, 214, 428, 856

701 : 1, 701

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 900,856,701,170, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

856:2x 2x 2x 107

701:701

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 91808568000/(1x40)

LCM = 91808568000/40

LCM = 2295214200

Thus, we can understand that the LCM of 900,856,701,170 is 2295214200.

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

• LCM of 860, 193, 216, 645
• LCM of 494, 269, 725, 769
• LCM of 177, 949, 735, 667
• LCM of 597, 500, 633, 523
• LCM of 977, 722, 823, 170

1. What is the LCM of 900, 856, 701, 170?

Answer: LCM of 900, 856, 701, 170 is 2295214200.

2. How to calculate the LCM of 900, 856, 701, 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 900, 856, 701, 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}.