Given numbers are 263,609,154,168,756

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

The LCM of 263,609,154,168,756 is 126852264.

Find LCM of 263,609,154,168,756 with Prime Factorization

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

2 x 2 x 3 x 7 x 263 x 29 x 11 x 2 x 9 = 126852264

Therefore, the lowest common multiple of 263,609,154,168,756 is 126852264.

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.

263 x 609 x 154 x 168 x 756 = 3132743511744

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.

263 : 1, 263

609 : 1, 3, 7, 21, 29, 87, 203, 609

154 : 1, 2, 7, 11, 14, 22, 77, 154

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,609,154,168,756, is 1.

Now, the common factors can be found like this.

263:263

609:3x 7x 29

154:2x 7x 11

168:2x 2x 2x 3x 7

756:2x 2x 3x 3x 3x 7

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 7x 7x 7 = 24696

Therefore, the value for common factors is 24696.

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 = 3132743511744/(1x24696)

LCM = 3132743511744/24696

LCM = 126852264

Thus, we can understand that the LCM of 263,609,154,168,756 is 126852264.

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

• LCM of 374, 188, 955, 482, 493
• LCM of 708, 175, 248, 496, 654
• LCM of 217, 363, 280, 670, 399
• LCM of 892, 329, 521, 624, 252
• LCM of 496, 237, 439, 970, 126

1. What is the LCM of 263, 609, 154, 168, 756?

Answer: LCM of 263, 609, 154, 168, 756 is 126852264.

2. How to calculate the LCM of 263, 609, 154, 168, 756?

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 263, 609, 154, 168, 756.

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}.