Given numbers are 676,552,746,936

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

The LCM of 676,552,746,936 is 104389272.

Find LCM of 676,552,746,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 13 x 23 x 373 x 3 = 104389272

Therefore, the lowest common multiple of 676,552,746,936 is 104389272.

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.

676 x 552 x 746 x 936 = 260555622912

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.

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

746 : 1, 2, 373, 746

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,552,746,936, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

552:2x 2x 2x 3x 23

746:2x 373

936:2x 2x 2x 3x 3x 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 2x 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 260555622912/(2x1248)

LCM = 260555622912/2496

LCM = 104389272

Thus, we can understand that the LCM of 676,552,746,936 is 104389272.

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

• LCM of 285, 500, 239, 770
• LCM of 133, 853, 324, 469
• LCM of 402, 419, 968, 451
• LCM of 171, 475, 866, 333
• LCM of 892, 906, 588, 698

1. What is the LCM of 676, 552, 746, 936?

Answer: LCM of 676, 552, 746, 936 is 104389272.

2. How to calculate the LCM of 676, 552, 746, 936?

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 676, 552, 746, 936.

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}.