Given numbers are 690,326,508,742

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

The LCM of 690,326,508,742 is 10598497980.

Find LCM of 690,326,508,742 with Prime Factorization

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

2 x 345 x 163 x 254 x 371 = 10598497980

Therefore, the lowest common multiple of 690,326,508,742 is 10598497980.

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 326 x 508 x 742 = 84787983840

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

326 : 1, 2, 163, 326

508 : 1, 2, 4, 127, 254, 508

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,326,508,742, is 2.

Now, the common factors can be found like this.

690:2x 3x 5x 23

326:2x 163

508:2x 2x 127

742:2x 7x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 84787983840/(2x4)

LCM = 84787983840/8

LCM = 10598497980

Thus, we can understand that the LCM of 690,326,508,742 is 10598497980.

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

• LCM of 406, 640, 209, 858
• LCM of 363, 404, 629, 634
• LCM of 856, 415, 750, 688
• LCM of 454, 380, 530, 703
• LCM of 344, 475, 333, 970

1. What is the LCM of 690, 326, 508, 742?

Answer: LCM of 690, 326, 508, 742 is 10598497980.

2. How to calculate the LCM of 690, 326, 508, 742?

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, 326, 508, 742.

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}.