Given numbers are 721,406,409,189

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

The LCM of 721,406,409,189 is 461796174.

Find LCM of 721,406,409,189 with Prime Factorization

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

7 x 103 x 58 x 409 x 27 = 461796174

Therefore, the lowest common multiple of 721,406,409,189 is 461796174.

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.

721 x 406 x 409 x 189 = 22628012526

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.

721 : 1, 7, 103, 721

406 : 1, 2, 7, 14, 29, 58, 203, 406

409 : 1, 409

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,406,409,189, is 1.

Now, the common factors can be found like this.

721:7x 103

406:2x 7x 29

409:409

189:3x 3x 3x 7

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 22628012526/(1x49)

LCM = 22628012526/49

LCM = 461796174

Thus, we can understand that the LCM of 721,406,409,189 is 461796174.

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

• LCM of 858, 433, 790, 143
• LCM of 138, 765, 867, 351
• LCM of 926, 139, 222, 332
• LCM of 463, 776, 150, 425
• LCM of 210, 488, 240, 181

1. What is the LCM of 721, 406, 409, 189?

Answer: LCM of 721, 406, 409, 189 is 461796174.

2. How to calculate the LCM of 721, 406, 409, 189?

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 721, 406, 409, 189.

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}.