Given numbers are 565,167,313,956,678

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

The LCM of 565,167,313,956,678 is 84700973820.

Find LCM of 565,167,313,956,678 with Prime Factorization

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

2 x 113 x 5 x 167 x 313 x 478 x 3 = 84700973820

Therefore, the lowest common multiple of 565,167,313,956,678 is 84700973820.

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.

565 x 167 x 313 x 956 x 678 = 19142420083320

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.

565 : 1, 5, 113, 565

167 : 1, 167

313 : 1, 313

956 : 1, 2, 4, 239, 478, 956

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,167,313,956,678, is 1.

Now, the common factors can be found like this.

565:5x 113

167:167

313:313

956:2x 2x 239

678:2x 3x 113

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 19142420083320/(1x226)

LCM = 19142420083320/226

LCM = 84700973820

Thus, we can understand that the LCM of 565,167,313,956,678 is 84700973820.

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

• LCM of 307, 719, 191, 754, 237
• LCM of 606, 214, 743, 767, 859
• LCM of 394, 192, 398, 557, 736
• LCM of 228, 728, 859, 253, 534
• LCM of 155, 377, 313, 164, 883

1. What is the LCM of 565, 167, 313, 956, 678?

Answer: LCM of 565, 167, 313, 956, 678 is 84700973820.

2. How to calculate the LCM of 565, 167, 313, 956, 678?

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 565, 167, 313, 956, 678.

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}.