Given numbers are 180,370,709,107

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

The LCM of 180,370,709,107 is 505247580.

Find LCM of 180,370,709,107 with Prime Factorization

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

2 x 5 x 18 x 37 x 709 x 107 = 505247580

Therefore, the lowest common multiple of 180,370,709,107 is 505247580.

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.

180 x 370 x 709 x 107 = 5052475800

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

370 : 1, 2, 5, 10, 37, 74, 185, 370

709 : 1, 709

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,370,709,107, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

370:2x 5x 37

709:709

107:107

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 5052475800/(1x10)

LCM = 5052475800/10

LCM = 505247580

Thus, we can understand that the LCM of 180,370,709,107 is 505247580.

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

• LCM of 724, 792, 262, 820
• LCM of 813, 784, 365, 165
• LCM of 228, 714, 511, 591
• LCM of 359, 305, 651, 382
• LCM of 355, 884, 630, 485

1. What is the LCM of 180, 370, 709, 107?

Answer: LCM of 180, 370, 709, 107 is 505247580.

2. How to calculate the LCM of 180, 370, 709, 107?

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 180, 370, 709, 107.

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}.