Given numbers are 949,146,306,590,406

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

The LCM of 949,146,306,590,406 is 17390244690.

Find LCM of 949,146,306,590,406 with Prime Factorization

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

2 x 73 x 13 x 1 x 153 x 295 x 203 = 17390244690

Therefore, the lowest common multiple of 949,146,306,590,406 is 17390244690.

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.

949 x 146 x 306 x 590 x 406 = 10155902898960

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.

949 : 1, 13, 73, 949

146 : 1, 2, 73, 146

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

590 : 1, 2, 5, 10, 59, 118, 295, 590

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,146,306,590,406, is 1.

Now, the common factors can be found like this.

949:13x 73

146:2x 73

306:2x 3x 3x 17

590:2x 5x 59

406:2x 7x 29

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 2x 73 = 584

Therefore, the value for common factors is 584.

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 = 10155902898960/(1x584)

LCM = 10155902898960/584

LCM = 17390244690

Thus, we can understand that the LCM of 949,146,306,590,406 is 17390244690.

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

• LCM of 606, 543, 569, 129, 377
• LCM of 954, 680, 164, 484, 691
• LCM of 937, 593, 655, 841, 580
• LCM of 698, 814, 299, 387, 752
• LCM of 825, 372, 407, 871, 565

1. What is the LCM of 949, 146, 306, 590, 406?

Answer: LCM of 949, 146, 306, 590, 406 is 17390244690.

2. How to calculate the LCM of 949, 146, 306, 590, 406?

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 949, 146, 306, 590, 406.

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}.