Given numbers are 507,416,176,143

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

The LCM of 507,416,176,143 is 178464.

Find LCM of 507,416,176,143 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 13 x 39 x 2 x 1 x 1 = 178464

Therefore, the lowest common multiple of 507,416,176,143 is 178464.

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.

507 x 416 x 176 x 143 = 5308233216

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.

507 : 1, 3, 13, 39, 169, 507

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,416,176,143, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

416:2x 2x 2x 2x 2x 13

176:2x 2x 2x 2x 11

143:11x 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 11x 13x 13 = 29744

Therefore, the value for common factors is 29744.

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 = 5308233216/(1x29744)

LCM = 5308233216/29744

LCM = 178464

Thus, we can understand that the LCM of 507,416,176,143 is 178464.

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

• LCM of 240, 674, 360, 535
• LCM of 606, 529, 368, 575
• LCM of 778, 463, 811, 820
• LCM of 931, 987, 698, 199
• LCM of 570, 875, 760, 119

1. What is the LCM of 507, 416, 176, 143?

Answer: LCM of 507, 416, 176, 143 is 178464.

2. How to calculate the LCM of 507, 416, 176, 143?

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 507, 416, 176, 143.

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}.