Given numbers are 157,176,287,861,533

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

The LCM of 157,176,287,861,533 is 309284976.

Find LCM of 157,176,287,861,533 with Prime Factorization

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

7 x 41 x 157 x 176 x 1 x 3 x 13 = 309284976

Therefore, the lowest common multiple of 157,176,287,861,533 is 309284976.

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.

157 x 176 x 287 x 861 x 533 = 3639356312592

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.

157 : 1, 157

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

287 : 1, 7, 41, 287

861 : 1, 3, 7, 21, 41, 123, 287, 861

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,176,287,861,533, is 1.

Now, the common factors can be found like this.

157:157

176:2x 2x 2x 2x 11

287:7x 41

861:3x 7x 41

533:13x 41

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

7x 41x 41 = 11767

Therefore, the value for common factors is 11767.

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 = 3639356312592/(1x11767)

LCM = 3639356312592/11767

LCM = 309284976

Thus, we can understand that the LCM of 157,176,287,861,533 is 309284976.

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

• LCM of 822, 434, 918, 492, 168
• LCM of 927, 446, 185, 400, 422
• LCM of 187, 988, 261, 996, 249
• LCM of 414, 663, 789, 792, 871
• LCM of 932, 453, 418, 795, 843

1. What is the LCM of 157, 176, 287, 861, 533?

Answer: LCM of 157, 176, 287, 861, 533 is 309284976.

2. How to calculate the LCM of 157, 176, 287, 861, 533?

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 157, 176, 287, 861, 533.

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}.