Given numbers are 546,177,720,840

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

The LCM of 546,177,720,840 is 3865680.

Find LCM of 546,177,720,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 7 x 13 x 59 x 6 x 1 = 3865680

Therefore, the lowest common multiple of 546,177,720,840 is 3865680.

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.

546 x 177 x 720 x 840 = 58449081600

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

177 : 1, 3, 59, 177

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,177,720,840, is 3.

Now, the common factors can be found like this.

546:2x 3x 7x 13

177:3x 59

720:2x 2x 2x 2x 3x 3x 5

840:2x 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 5x 7 = 5040

Therefore, the value for common factors is 5040.

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 = 58449081600/(3x5040)

LCM = 58449081600/15120

LCM = 3865680

Thus, we can understand that the LCM of 546,177,720,840 is 3865680.

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

• LCM of 319, 208, 674, 758
• LCM of 368, 488, 286, 904
• LCM of 364, 907, 891, 538
• LCM of 119, 954, 108, 444
• LCM of 899, 555, 855, 116

1. What is the LCM of 546, 177, 720, 840?

Answer: LCM of 546, 177, 720, 840 is 3865680.

2. How to calculate the LCM of 546, 177, 720, 840?

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 546, 177, 720, 840.

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}.