Given numbers are 690,924,753,618

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

The LCM of 690,924,753,618 is 2747139780.

Find LCM of 690,924,753,618 with Prime Factorization

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

2 x 3 x 115 x 154 x 251 x 103 = 2747139780

Therefore, the lowest common multiple of 690,924,753,618 is 2747139780.

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.

690 x 924 x 753 x 618 = 296691096240

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

753 : 1, 3, 251, 753

618 : 1, 2, 3, 6, 103, 206, 309, 618

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,924,753,618, is 3.

Now, the common factors can be found like this.

690:2x 3x 5x 23

924:2x 2x 3x 7x 11

753:3x 251

618:2x 3x 103

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 296691096240/(3x36)

LCM = 296691096240/108

LCM = 2747139780

Thus, we can understand that the LCM of 690,924,753,618 is 2747139780.

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

• LCM of 285, 540, 663, 615
• LCM of 394, 460, 452, 866
• LCM of 393, 252, 354, 978
• LCM of 333, 107, 849, 245
• LCM of 162, 906, 318, 829

1. What is the LCM of 690, 924, 753, 618?

Answer: LCM of 690, 924, 753, 618 is 2747139780.

2. How to calculate the LCM of 690, 924, 753, 618?

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 690, 924, 753, 618.

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}.