Given numbers are 966,889,456,646,918

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

The LCM of 966,889,456,646,918 is 1426546296.

Find LCM of 966,889,456,646,918 with Prime Factorization

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

2 x 3 x 7 x 17 x 19 x 23 x 127 x 4 x 1 x 9 = 1426546296

Therefore, the lowest common multiple of 966,889,456,646,918 is 1426546296.

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.

966 x 889 x 456 x 646 x 918 = 232230324618432

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

889 : 1, 7, 127, 889

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

646 : 1, 2, 17, 19, 34, 38, 323, 646

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,889,456,646,918, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

889:7x 127

456:2x 2x 2x 3x 19

646:2x 17x 19

918:2x 3x 3x 3x 17

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 17x 19 = 162792

Therefore, the value for common factors is 162792.

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 = 232230324618432/(1x162792)

LCM = 232230324618432/162792

LCM = 1426546296

Thus, we can understand that the LCM of 966,889,456,646,918 is 1426546296.

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

• LCM of 863, 811, 449, 641, 549
• LCM of 975, 804, 907, 586, 225
• LCM of 735, 457, 234, 737, 192
• LCM of 565, 271, 905, 357, 494
• LCM of 196, 827, 424, 826, 489

1. What is the LCM of 966, 889, 456, 646, 918?

Answer: LCM of 966, 889, 456, 646, 918 is 1426546296.

2. How to calculate the LCM of 966, 889, 456, 646, 918?

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 966, 889, 456, 646, 918.

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}.