Given numbers are 742,924,364,245,452

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

The LCM of 742,924,364,245,452 is 2517895380.

Find LCM of 742,924,364,245,452 with Prime Factorization

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

2 x 2 x 7 x 53 x 33 x 13 x 35 x 113 = 2517895380

Therefore, the lowest common multiple of 742,924,364,245,452 is 2517895380.

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.

742 x 924 x 364 x 245 x 452 = 27636419690880

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.

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

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

245 : 1, 5, 7, 35, 49, 245

452 : 1, 2, 4, 113, 226, 452

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,924,364,245,452, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

924:2x 2x 3x 7x 11

364:2x 2x 7x 13

245:5x 7x 7

452:2x 2x 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 2x 2x 2x 2x 7x 7x 7 = 10976

Therefore, the value for common factors is 10976.

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 = 27636419690880/(1x10976)

LCM = 27636419690880/10976

LCM = 2517895380

Thus, we can understand that the LCM of 742,924,364,245,452 is 2517895380.

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

• LCM of 858, 597, 360, 243, 268
• LCM of 724, 155, 969, 344, 920
• LCM of 685, 114, 843, 708, 592
• LCM of 575, 142, 923, 319, 334
• LCM of 438, 148, 383, 763, 416

1. What is the LCM of 742, 924, 364, 245, 452?

Answer: LCM of 742, 924, 364, 245, 452 is 2517895380.

2. How to calculate the LCM of 742, 924, 364, 245, 452?

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 742, 924, 364, 245, 452.

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}.