Given numbers are 542,326,480,414,920

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

The LCM of 542,326,480,414,920 is 1463009760.

Find LCM of 542,326,480,414,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 23 x 271 x 163 x 4 x 3 x 1 = 1463009760

Therefore, the lowest common multiple of 542,326,480,414,920 is 1463009760.

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.

542 x 326 x 480 x 414 x 920 = 32303255500800

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.

542 : 1, 2, 271, 542

326 : 1, 2, 163, 326

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,326,480,414,920, is 2.

Now, the common factors can be found like this.

542:2x 271

326:2x 163

480:2x 2x 2x 2x 2x 3x 5

414:2x 3x 3x 23

920:2x 2x 2x 5x 23

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 5x 23 = 11040

Therefore, the value for common factors is 11040.

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 = 32303255500800/(2x11040)

LCM = 32303255500800/22080

LCM = 1463009760

Thus, we can understand that the LCM of 542,326,480,414,920 is 1463009760.

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

• LCM of 319, 536, 830, 226, 192
• LCM of 555, 403, 125, 298, 572
• LCM of 545, 805, 874, 831, 739
• LCM of 981, 854, 238, 412, 219
• LCM of 479, 693, 857, 710, 959

1. What is the LCM of 542, 326, 480, 414, 920?

Answer: LCM of 542, 326, 480, 414, 920 is 1463009760.

2. How to calculate the LCM of 542, 326, 480, 414, 920?

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 542, 326, 480, 414, 920.

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}.