Given numbers are 513,254,146,556,688

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

The LCM of 513,254,146,556,688 is 454827991536.

Find LCM of 513,254,146,556,688 with Prime Factorization

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

2 x 2 x 513 x 127 x 73 x 139 x 172 = 454827991536

Therefore, the lowest common multiple of 513,254,146,556,688 is 454827991536.

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.

513 x 254 x 146 x 556 x 688 = 7277247864576

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

254 : 1, 2, 127, 254

146 : 1, 2, 73, 146

556 : 1, 2, 4, 139, 278, 556

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,254,146,556,688, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

254:2x 127

146:2x 73

556:2x 2x 139

688:2x 2x 2x 2x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 7277247864576/(1x16)

LCM = 7277247864576/16

LCM = 454827991536

Thus, we can understand that the LCM of 513,254,146,556,688 is 454827991536.

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

• LCM of 989, 575, 192, 534, 186
• LCM of 500, 754, 747, 915, 967
• LCM of 997, 176, 493, 190, 621
• LCM of 805, 887, 146, 117, 184
• LCM of 174, 616, 403, 135, 594

1. What is the LCM of 513, 254, 146, 556, 688?

Answer: LCM of 513, 254, 146, 556, 688 is 454827991536.

2. How to calculate the LCM of 513, 254, 146, 556, 688?

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 513, 254, 146, 556, 688.

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}.