Given numbers are 473,301,234,390,546

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

The LCM of 473,301,234,390,546 is 3873870.

Find LCM of 473,301,234,390,546 with Prime Factorization

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

2 x 3 x 7 x 13 x 43 x 11 x 1 x 3 x 5 x 1 = 3873870

Therefore, the lowest common multiple of 473,301,234,390,546 is 3873870.

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.

473 x 301 x 234 x 390 x 546 = 7094156149080

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.

473 : 1, 11, 43, 473

301 : 1, 7, 43, 301

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 473,301,234,390,546, is 1.

Now, the common factors can be found like this.

473:11x 43

301:7x 43

234:2x 3x 3x 13

390:2x 3x 5x 13

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 3x 3x 7x 13x 13x 43 = 1831284

Therefore, the value for common factors is 1831284.

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 = 7094156149080/(1x1831284)

LCM = 7094156149080/1831284

LCM = 3873870

Thus, we can understand that the LCM of 473,301,234,390,546 is 3873870.

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

• LCM of 584, 262, 360, 590, 128
• LCM of 726, 919, 236, 855, 658
• LCM of 569, 386, 207, 766, 320
• LCM of 937, 492, 679, 712, 648
• LCM of 439, 460, 667, 176, 171

1. What is the LCM of 473, 301, 234, 390, 546?

Answer: LCM of 473, 301, 234, 390, 546 is 3873870.

2. How to calculate the LCM of 473, 301, 234, 390, 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 473, 301, 234, 390, 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}.