Given numbers are 723,702,209,370

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

The LCM of 723,702,209,370 is 6541422030.

Find LCM of 723,702,209,370 with Prime Factorization

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

2 x 3 x 241 x 117 x 209 x 185 = 6541422030

Therefore, the lowest common multiple of 723,702,209,370 is 6541422030.

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.

723 x 702 x 209 x 370 = 39248532180

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.

723 : 1, 3, 241, 723

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

209 : 1, 11, 19, 209

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,702,209,370, is 1.

Now, the common factors can be found like this.

723:3x 241

702:2x 3x 3x 3x 13

209:11x 19

370:2x 5x 37

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 39248532180/(1x6)

LCM = 39248532180/6

LCM = 6541422030

Thus, we can understand that the LCM of 723,702,209,370 is 6541422030.

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

• LCM of 760, 981, 387, 355
• LCM of 957, 520, 576, 746
• LCM of 200, 850, 335, 945
• LCM of 994, 915, 935, 834
• LCM of 940, 534, 625, 448

1. What is the LCM of 723, 702, 209, 370?

Answer: LCM of 723, 702, 209, 370 is 6541422030.

2. How to calculate the LCM of 723, 702, 209, 370?

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 723, 702, 209, 370.

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}.