Given numbers are 300,829,114,702

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

The LCM of 300,829,114,702 is 552860100.

Find LCM of 300,829,114,702 with Prime Factorization

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

2 x 3 x 50 x 829 x 19 x 117 = 552860100

Therefore, the lowest common multiple of 300,829,114,702 is 552860100.

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.

300 x 829 x 114 x 702 = 19902963600

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

829 : 1, 829

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

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,829,114,702, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

829:829

114:2x 3x 19

702:2x 3x 3x 3x 13

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 19902963600/(1x36)

LCM = 19902963600/36

LCM = 552860100

Thus, we can understand that the LCM of 300,829,114,702 is 552860100.

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

• LCM of 702, 317, 417, 324
• LCM of 651, 184, 864, 430
• LCM of 909, 255, 692, 762
• LCM of 560, 153, 658, 620
• LCM of 328, 780, 220, 820

1. What is the LCM of 300, 829, 114, 702?

Answer: LCM of 300, 829, 114, 702 is 552860100.

2. How to calculate the LCM of 300, 829, 114, 702?

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 300, 829, 114, 702.

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}.