Given numbers are 540,327,489,109,942

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

The LCM of 540,327,489,109,942 is 1506286260.

Find LCM of 540,327,489,109,942 with Prime Factorization

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

2 x 3 x 109 x 90 x 1 x 163 x 1 x 157 = 1506286260

Therefore, the lowest common multiple of 540,327,489,109,942 is 1506286260.

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.

540 x 327 x 489 x 109 x 942 = 8866000926360

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

327 : 1, 3, 109, 327

489 : 1, 3, 163, 489

109 : 1, 109

942 : 1, 2, 3, 6, 157, 314, 471, 942

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,327,489,109,942, is 1.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

327:3x 109

489:3x 163

109:109

942:2x 3x 157

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

2x 3x 3x 3x 109 = 5886

Therefore, the value for common factors is 5886.

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 = 8866000926360/(1x5886)

LCM = 8866000926360/5886

LCM = 1506286260

Thus, we can understand that the LCM of 540,327,489,109,942 is 1506286260.

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

• LCM of 793, 514, 445, 529, 997
• LCM of 886, 587, 753, 868, 734
• LCM of 760, 383, 498, 350, 412
• LCM of 455, 175, 219, 199, 906
• LCM of 607, 699, 763, 802, 961

1. What is the LCM of 540, 327, 489, 109, 942?

Answer: LCM of 540, 327, 489, 109, 942 is 1506286260.

2. How to calculate the LCM of 540, 327, 489, 109, 942?

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 540, 327, 489, 109, 942.

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}.