Given numbers are 545,348,242,476,676

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

The LCM of 545,348,242,476,676 is 461524523460.

Find LCM of 545,348,242,476,676 with Prime Factorization

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

2 x 2 x 545 x 87 x 121 x 119 x 169 = 461524523460

Therefore, the lowest common multiple of 545,348,242,476,676 is 461524523460.

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.

545 x 348 x 242 x 476 x 676 = 14768784750720

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.

545 : 1, 5, 109, 545

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

242 : 1, 2, 11, 22, 121, 242

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,348,242,476,676, is 1.

Now, the common factors can be found like this.

545:5x 109

348:2x 2x 3x 29

242:2x 11x 11

476:2x 2x 7x 17

676:2x 2x 13x 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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 14768784750720/(1x32)

LCM = 14768784750720/32

LCM = 461524523460

Thus, we can understand that the LCM of 545,348,242,476,676 is 461524523460.

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

• LCM of 117, 932, 717, 633, 843
• LCM of 376, 251, 382, 713, 627
• LCM of 168, 761, 780, 920, 102
• LCM of 471, 944, 829, 470, 356
• LCM of 466, 618, 803, 441, 680

1. What is the LCM of 545, 348, 242, 476, 676?

Answer: LCM of 545, 348, 242, 476, 676 is 461524523460.

2. How to calculate the LCM of 545, 348, 242, 476, 676?

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 545, 348, 242, 476, 676.

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}.