Given numbers are 709,114,900,164

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

The LCM of 709,114,900,164 is 497079900.

Find LCM of 709,114,900,164 with Prime Factorization

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

2 x 2 x 3 x 709 x 19 x 75 x 41 = 497079900

Therefore, the lowest common multiple of 709,114,900,164 is 497079900.

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.

709 x 114 x 900 x 164 = 11929917600

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.

709 : 1, 709

114 : 1, 2, 3, 6, 19, 38, 57, 114

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

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,114,900,164, is 1.

Now, the common factors can be found like this.

709:709

114:2x 3x 19

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

164:2x 2x 41

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 3 = 24

Therefore, the value for common factors is 24.

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 = 11929917600/(1x24)

LCM = 11929917600/24

LCM = 497079900

Thus, we can understand that the LCM of 709,114,900,164 is 497079900.

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

• LCM of 543, 463, 517, 116
• LCM of 345, 710, 406, 973
• LCM of 232, 191, 464, 100
• LCM of 269, 723, 801, 642
• LCM of 336, 168, 356, 528

1. What is the LCM of 709, 114, 900, 164?

Answer: LCM of 709, 114, 900, 164 is 497079900.

2. How to calculate the LCM of 709, 114, 900, 164?

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 709, 114, 900, 164.

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}.