Given numbers are 802,827,742,882,920

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

The LCM of 802,827,742,882,920 is 7131028441320.

Find LCM of 802,827,742,882,920 with Prime Factorization

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

2 x 7 x 401 x 827 x 53 x 63 x 460 = 7131028441320

Therefore, the lowest common multiple of 802,827,742,882,920 is 7131028441320.

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.

802 x 827 x 742 x 882 x 920 = 399337592713920

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.

802 : 1, 2, 401, 802

827 : 1, 827

742 : 1, 2, 7, 14, 53, 106, 371, 742

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,827,742,882,920, is 1.

Now, the common factors can be found like this.

802:2x 401

827:827

742:2x 7x 53

882:2x 3x 3x 7x 7

920:2x 2x 2x 5x 23

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 7 = 56

Therefore, the value for common factors is 56.

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 = 399337592713920/(1x56)

LCM = 399337592713920/56

LCM = 7131028441320

Thus, we can understand that the LCM of 802,827,742,882,920 is 7131028441320.

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

• LCM of 240, 742, 161, 841, 575
• LCM of 234, 810, 923, 149, 352
• LCM of 360, 979, 770, 101, 691
• LCM of 279, 930, 208, 264, 908
• LCM of 301, 124, 451, 261, 136

1. What is the LCM of 802, 827, 742, 882, 920?

Answer: LCM of 802, 827, 742, 882, 920 is 7131028441320.

2. How to calculate the LCM of 802, 827, 742, 882, 920?

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 802, 827, 742, 882, 920.

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}.