Given numbers are 392,462,473,325,341

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

The LCM of 392,462,473,325,341 is 5604198600.

Find LCM of 392,462,473,325,341 with Prime Factorization

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

2 x 7 x 11 x 28 x 3 x 43 x 325 x 31 = 5604198600

Therefore, the lowest common multiple of 392,462,473,325,341 is 5604198600.

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.

392 x 462 x 473 x 325 x 341 = 9493512428400

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

473 : 1, 11, 43, 473

325 : 1, 5, 13, 25, 65, 325

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,462,473,325,341, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

462:2x 3x 7x 11

473:11x 43

325:5x 5x 13

341:11x 31

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

2x 7x 11x 11 = 1694

Therefore, the value for common factors is 1694.

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 = 9493512428400/(1x1694)

LCM = 9493512428400/1694

LCM = 5604198600

Thus, we can understand that the LCM of 392,462,473,325,341 is 5604198600.

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

• LCM of 371, 886, 753, 251, 472
• LCM of 372, 981, 690, 113, 655
• LCM of 191, 800, 841, 780, 101
• LCM of 844, 505, 294, 400, 318
• LCM of 176, 958, 900, 352, 936

1. What is the LCM of 392, 462, 473, 325, 341?

Answer: LCM of 392, 462, 473, 325, 341 is 5604198600.

2. How to calculate the LCM of 392, 462, 473, 325, 341?

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 392, 462, 473, 325, 341.

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}.