Given numbers are 463,546,269,689

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

The LCM of 463,546,269,689 is 3604141086.

Find LCM of 463,546,269,689 with Prime Factorization

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

13 x 463 x 42 x 269 x 53 = 3604141086

Therefore, the lowest common multiple of 463,546,269,689 is 3604141086.

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.

463 x 546 x 269 x 689 = 46853834118

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.

463 : 1, 463

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

269 : 1, 269

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,546,269,689, is 1.

Now, the common factors can be found like this.

463:463

546:2x 3x 7x 13

269:269

689:13x 53

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13 = 13

Therefore, the value for common factors is 13.

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 = 46853834118/(1x13)

LCM = 46853834118/13

LCM = 3604141086

Thus, we can understand that the LCM of 463,546,269,689 is 3604141086.

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

• LCM of 821, 305, 338, 311
• LCM of 904, 463, 397, 351
• LCM of 604, 788, 205, 465
• LCM of 323, 647, 303, 384
• LCM of 122, 118, 548, 886

1. What is the LCM of 463, 546, 269, 689?

Answer: LCM of 463, 546, 269, 689 is 3604141086.

2. How to calculate the LCM of 463, 546, 269, 689?

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 463, 546, 269, 689.

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}.