Given numbers are 546,908,102,780

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

The LCM of 546,908,102,780 is 21070140.

Find LCM of 546,908,102,780 with Prime Factorization

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

2 x 2 x 3 x 13 x 7 x 227 x 17 x 5 = 21070140

Therefore, the lowest common multiple of 546,908,102,780 is 21070140.

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 908 x 102 x 780 = 39443302080

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

908 : 1, 2, 4, 227, 454, 908

102 : 1, 2, 3, 6, 17, 34, 51, 102

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,908,102,780, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

908:2x 2x 227

102:2x 3x 17

780:2x 2x 3x 5x 13

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 39443302080/(2x936)

LCM = 39443302080/1872

LCM = 21070140

Thus, we can understand that the LCM of 546,908,102,780 is 21070140.

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

• LCM of 985, 840, 529, 568
• LCM of 316, 340, 896, 549
• LCM of 678, 331, 964, 365
• LCM of 358, 278, 553, 600
• LCM of 169, 118, 950, 996

1. What is the LCM of 546, 908, 102, 780?

Answer: LCM of 546, 908, 102, 780 is 21070140.

2. How to calculate the LCM of 546, 908, 102, 780?

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, 908, 102, 780.

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}.