Given numbers are 354,364,208,372,438

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

The LCM of 354,364,208,372,438 is 583202256.

Find LCM of 354,364,208,372,438 with Prime Factorization

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

2 x 2 x 3 x 13 x 59 x 7 x 4 x 31 x 73 = 583202256

Therefore, the lowest common multiple of 354,364,208,372,438 is 583202256.

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.

354 x 364 x 208 x 372 x 438 = 4367018492928

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,364,208,372,438, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

364:2x 2x 7x 13

208:2x 2x 2x 2x 13

372:2x 2x 3x 31

438:2x 3x 73

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 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 4367018492928/(2x3744)

LCM = 4367018492928/7488

LCM = 583202256

Thus, we can understand that the LCM of 354,364,208,372,438 is 583202256.

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

• LCM of 185, 623, 972, 481, 243
• LCM of 622, 156, 432, 924, 519
• LCM of 936, 373, 785, 953, 500
• LCM of 651, 861, 512, 247, 298
• LCM of 132, 757, 142, 275, 625

1. What is the LCM of 354, 364, 208, 372, 438?

Answer: LCM of 354, 364, 208, 372, 438 is 583202256.

2. How to calculate the LCM of 354, 364, 208, 372, 438?

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 354, 364, 208, 372, 438.

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}.