Given numbers are 540,792,676,420

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

The LCM of 540,792,676,420 is 14054040.

Find LCM of 540,792,676,420 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 3 x 22 x 169 x 7 = 14054040

Therefore, the lowest common multiple of 540,792,676,420 is 14054040.

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 792 x 676 x 420 = 121426905600

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,792,676,420, is 4.

Now, the common factors can be found like this.

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

792:2x 2x 2x 3x 3x 11

676:2x 2x 13x 13

420:2x 2x 3x 5x 7

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 3x 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 121426905600/(4x2160)

LCM = 121426905600/8640

LCM = 14054040

Thus, we can understand that the LCM of 540,792,676,420 is 14054040.

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

• LCM of 693, 983, 907, 470
• LCM of 781, 828, 462, 416
• LCM of 603, 946, 376, 632
• LCM of 511, 879, 803, 845
• LCM of 924, 891, 191, 370

1. What is the LCM of 540, 792, 676, 420?

Answer: LCM of 540, 792, 676, 420 is 14054040.

2. How to calculate the LCM of 540, 792, 676, 420?

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, 792, 676, 420.

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}.