Given numbers are 565,540,716,974

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

The LCM of 565,540,716,974 is 5319296460.

Find LCM of 565,540,716,974 with Prime Factorization

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

2 x 2 x 5 x 113 x 27 x 179 x 487 = 5319296460

Therefore, the lowest common multiple of 565,540,716,974 is 5319296460.

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 540 x 716 x 974 = 212771858400

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

716 : 1, 2, 4, 179, 358, 716

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,540,716,974, is 1.

Now, the common factors can be found like this.

565:5x 113

540:2x 2x 3x 3x 3x 5

716:2x 2x 179

974:2x 487

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 5 = 40

Therefore, the value for common factors is 40.

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 = 212771858400/(1x40)

LCM = 212771858400/40

LCM = 5319296460

Thus, we can understand that the LCM of 565,540,716,974 is 5319296460.

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

• LCM of 158, 418, 967, 123
• LCM of 347, 104, 699, 737
• LCM of 258, 473, 607, 672
• LCM of 688, 185, 621, 310
• LCM of 481, 888, 819, 993

1. What is the LCM of 565, 540, 716, 974?

Answer: LCM of 565, 540, 716, 974 is 5319296460.

2. How to calculate the LCM of 565, 540, 716, 974?

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, 540, 716, 974.

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}.