Given numbers are 827,673,117,468,780

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

The LCM of 827,673,117,468,780 is 1302376140.

Find LCM of 827,673,117,468,780 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 827 x 673 x 1 x 1 x 5 = 1302376140

Therefore, the lowest common multiple of 827,673,117,468,780 is 1302376140.

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.

827 x 673 x 117 x 468 x 780 = 23770969307280

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.

827 : 1, 827

673 : 1, 673

117 : 1, 3, 9, 13, 39, 117

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,673,117,468,780, is 1.

Now, the common factors can be found like this.

827:827

673:673

117:3x 3x 13

468:2x 2x 3x 3x 13

780:2x 2x 3x 5x 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 3x 3x 3x 13x 13 = 18252

Therefore, the value for common factors is 18252.

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 = 23770969307280/(1x18252)

LCM = 23770969307280/18252

LCM = 1302376140

Thus, we can understand that the LCM of 827,673,117,468,780 is 1302376140.

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

• LCM of 294, 317, 737, 173, 931
• LCM of 359, 241, 512, 354, 123
• LCM of 809, 357, 222, 800, 410
• LCM of 800, 193, 150, 397, 858
• LCM of 467, 911, 340, 392, 923

1. What is the LCM of 827, 673, 117, 468, 780?

Answer: LCM of 827, 673, 117, 468, 780 is 1302376140.

2. How to calculate the LCM of 827, 673, 117, 468, 780?

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 827, 673, 117, 468, 780.

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}.