Given numbers are 546,152,467,104,395

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

The LCM of 546,152,467,104,395 is 7654559640.

Find LCM of 546,152,467,104,395 with Prime Factorization

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

2 x 2 x 2 x 13 x 21 x 19 x 467 x 1 x 395 = 7654559640

Therefore, the lowest common multiple of 546,152,467,104,395 is 7654559640.

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 152 x 467 x 104 x 395 = 1592148405120

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

152 : 1, 2, 4, 8, 19, 38, 76, 152

467 : 1, 467

104 : 1, 2, 4, 8, 13, 26, 52, 104

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,152,467,104,395, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

152:2x 2x 2x 19

467:467

104:2x 2x 2x 13

395:5x 79

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 13 = 208

Therefore, the value for common factors is 208.

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 = 1592148405120/(1x208)

LCM = 1592148405120/208

LCM = 7654559640

Thus, we can understand that the LCM of 546,152,467,104,395 is 7654559640.

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

• LCM of 949, 904, 640, 242, 987
• LCM of 475, 594, 407, 938, 777
• LCM of 908, 261, 558, 319, 582
• LCM of 128, 458, 182, 395, 469
• LCM of 762, 841, 231, 543, 843

1. What is the LCM of 546, 152, 467, 104, 395?

Answer: LCM of 546, 152, 467, 104, 395 is 7654559640.

2. How to calculate the LCM of 546, 152, 467, 104, 395?

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, 152, 467, 104, 395.

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}.