Given numbers are 866,522,816,762,980

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

The LCM of 866,522,816,762,980 is 956460662640.

Find LCM of 866,522,816,762,980 with Prime Factorization

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

2 x 2 x 3 x 433 x 87 x 68 x 127 x 245 = 956460662640

Therefore, the lowest common multiple of 866,522,816,762,980 is 956460662640.

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.

866 x 522 x 816 x 762 x 980 = 275460670840320

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.

866 : 1, 2, 433, 866

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

762 : 1, 2, 3, 6, 127, 254, 381, 762

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,522,816,762,980, is 2.

Now, the common factors can be found like this.

866:2x 433

522:2x 3x 3x 29

816:2x 2x 2x 2x 3x 17

762:2x 3x 127

980:2x 2x 5x 7x 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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 275460670840320/(2x144)

LCM = 275460670840320/288

LCM = 956460662640

Thus, we can understand that the LCM of 866,522,816,762,980 is 956460662640.

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

• LCM of 914, 417, 409, 137, 781
• LCM of 741, 274, 628, 129, 799
• LCM of 524, 510, 492, 140, 795
• LCM of 572, 153, 868, 306, 790
• LCM of 994, 356, 234, 895, 600

1. What is the LCM of 866, 522, 816, 762, 980?

Answer: LCM of 866, 522, 816, 762, 980 is 956460662640.

2. How to calculate the LCM of 866, 522, 816, 762, 980?

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 866, 522, 816, 762, 980.

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}.