Given numbers are 742,414,340,357,546

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

The LCM of 742,414,340,357,546 is 339442740.

Find LCM of 742,414,340,357,546 with Prime Factorization

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

2 x 3 x 7 x 17 x 53 x 69 x 10 x 1 x 13 = 339442740

Therefore, the lowest common multiple of 742,414,340,357,546 is 339442740.

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 414 x 340 x 357 x 546 = 20358417774240

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

357 : 1, 3, 7, 17, 21, 51, 119, 357

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,414,340,357,546, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

414:2x 3x 3x 23

340:2x 2x 5x 17

357:3x 7x 17

546:2x 3x 7x 13

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 3x 3x 7x 7x 17 = 59976

Therefore, the value for common factors is 59976.

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 = 20358417774240/(1x59976)

LCM = 20358417774240/59976

LCM = 339442740

Thus, we can understand that the LCM of 742,414,340,357,546 is 339442740.

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

• LCM of 181, 607, 651, 569, 735
• LCM of 357, 915, 176, 986, 282
• LCM of 676, 948, 250, 625, 231
• LCM of 768, 320, 433, 950, 311
• LCM of 451, 573, 393, 388, 506

1. What is the LCM of 742, 414, 340, 357, 546?

Answer: LCM of 742, 414, 340, 357, 546 is 339442740.

2. How to calculate the LCM of 742, 414, 340, 357, 546?

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, 414, 340, 357, 546.

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}.