Given numbers are 958,440,749,342,208

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

The LCM of 958,440,749,342,208 is 701842181040.

Find LCM of 958,440,749,342,208 with Prime Factorization

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

2 x 2 x 2 x 479 x 55 x 749 x 171 x 26 = 701842181040

Therefore, the lowest common multiple of 958,440,749,342,208 is 701842181040.

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.

958 x 440 x 749 x 342 x 208 = 22458949793280

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.

958 : 1, 2, 479, 958

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

749 : 1, 7, 107, 749

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,440,749,342,208, is 1.

Now, the common factors can be found like this.

958:2x 479

440:2x 2x 2x 5x 11

749:7x 107

342:2x 3x 3x 19

208:2x 2x 2x 2x 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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 22458949793280/(1x32)

LCM = 22458949793280/32

LCM = 701842181040

Thus, we can understand that the LCM of 958,440,749,342,208 is 701842181040.

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

• LCM of 326, 926, 743, 346, 642
• LCM of 327, 488, 428, 247, 186
• LCM of 223, 295, 409, 937, 917
• LCM of 707, 121, 875, 433, 746
• LCM of 305, 882, 912, 792, 448

1. What is the LCM of 958, 440, 749, 342, 208?

Answer: LCM of 958, 440, 749, 342, 208 is 701842181040.

2. How to calculate the LCM of 958, 440, 749, 342, 208?

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 958, 440, 749, 342, 208.

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}.