Given numbers are 782,991,406,469

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

The LCM of 782,991,406,469 is 10540258162.

Find LCM of 782,991,406,469 with Prime Factorization

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

2 x 7 x 391 x 991 x 29 x 67 = 10540258162

Therefore, the lowest common multiple of 782,991,406,469 is 10540258162.

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.

782 x 991 x 406 x 469 = 147563614268

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

991 : 1, 991

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

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,991,406,469, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

991:991

406:2x 7x 29

469:7x 67

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 147563614268/(1x14)

LCM = 147563614268/14

LCM = 10540258162

Thus, we can understand that the LCM of 782,991,406,469 is 10540258162.

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

• LCM of 421, 742, 312, 554
• LCM of 428, 902, 958, 846
• LCM of 639, 936, 124, 135
• LCM of 465, 176, 800, 117
• LCM of 111, 639, 874, 800

1. What is the LCM of 782, 991, 406, 469?

Answer: LCM of 782, 991, 406, 469 is 10540258162.

2. How to calculate the LCM of 782, 991, 406, 469?

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 782, 991, 406, 469.

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}.