Given numbers are 49,71,64,31,514

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

The LCM of 49,71,64,31,514 is 1773900352.

Find LCM of 49,71,64,31,514 with Prime Factorization

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

2 x 49 x 71 x 32 x 31 x 257 = 1773900352

Therefore, the lowest common multiple of 49,71,64,31,514 is 1773900352.

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.

49 x 71 x 64 x 31 x 514 = 3547800704

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.

49 : 1, 7, 49

71 : 1, 71

64 : 1, 2, 4, 8, 16, 32, 64

31 : 1, 31

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 49,71,64,31,514, is 1.

Now, the common factors can be found like this.

49:7x 7

71:71

64:2x 2x 2x 2x 2x 2

31:31

514:2x 257

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

2 = 2

Therefore, the value for common factors is 2.

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 = 3547800704/(1x2)

LCM = 3547800704/2

LCM = 1773900352

Thus, we can understand that the LCM of 49,71,64,31,514 is 1773900352.

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

• LCM of 54, 65, 10, 33, 567
• LCM of 42, 63, 95, 45, 175
• LCM of 72, 37, 44, 20, 955
• LCM of 18, 66, 35, 16, 117
• LCM of 99, 63, 57, 20, 828

1. What is the LCM of 49, 71, 64, 31, 514?

Answer: LCM of 49, 71, 64, 31, 514 is 1773900352.

2. How to calculate the LCM of 49, 71, 64, 31, 514?

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 49, 71, 64, 31, 514.

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}.