Given numbers are 546,912,387,874

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

The LCM of 546,912,387,874 is 246237264.

Find LCM of 546,912,387,874 with Prime Factorization

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

2 x 3 x 19 x 91 x 8 x 129 x 23 = 246237264

Therefore, the lowest common multiple of 546,912,387,874 is 246237264.

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 912 x 387 x 874 = 168426288576

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

387 : 1, 3, 9, 43, 129, 387

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,912,387,874, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

912:2x 2x 2x 2x 3x 19

387:3x 3x 43

874:2x 19x 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 3x 3x 19 = 684

Therefore, the value for common factors is 684.

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 = 168426288576/(1x684)

LCM = 168426288576/684

LCM = 246237264

Thus, we can understand that the LCM of 546,912,387,874 is 246237264.

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

• LCM of 644, 398, 176, 259
• LCM of 806, 443, 712, 216
• LCM of 409, 689, 304, 213
• LCM of 210, 716, 665, 953
• LCM of 174, 644, 978, 753

1. What is the LCM of 546, 912, 387, 874?

Answer: LCM of 546, 912, 387, 874 is 246237264.

2. How to calculate the LCM of 546, 912, 387, 874?

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, 912, 387, 874.

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}.