Given numbers are 514,171,514,901,677

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

The LCM of 514,171,514,901,677 is 53613318438.

Find LCM of 514,171,514,901,677 with Prime Factorization

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

2 x 257 x 1 x 171 x 1 x 901 x 677 = 53613318438

Therefore, the lowest common multiple of 514,171,514,901,677 is 53613318438.

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.

514 x 171 x 514 x 901 x 677 = 27557245677132

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.

514 : 1, 2, 257, 514

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

514 : 1, 2, 257, 514

901 : 1, 17, 53, 901

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,171,514,901,677, is 1.

Now, the common factors can be found like this.

514:2x 257

171:3x 3x 19

514:2x 257

901:17x 53

677:677

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

2x 257 = 514

Therefore, the value for common factors is 514.

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 = 27557245677132/(1x514)

LCM = 27557245677132/514

LCM = 53613318438

Thus, we can understand that the LCM of 514,171,514,901,677 is 53613318438.

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

• LCM of 268, 660, 238, 494, 914
• LCM of 434, 979, 778, 501, 884
• LCM of 984, 789, 786, 707, 420
• LCM of 950, 395, 570, 796, 971
• LCM of 204, 627, 815, 921, 727

1. What is the LCM of 514, 171, 514, 901, 677?

Answer: LCM of 514, 171, 514, 901, 677 is 53613318438.

2. How to calculate the LCM of 514, 171, 514, 901, 677?

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 514, 171, 514, 901, 677.

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}.