Given numbers are 276,918,969,924

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

The LCM of 276,918,969,924 is 61779564.

Find LCM of 276,918,969,924 with Prime Factorization

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

2 x 2 x 3 x 17 x 23 x 9 x 19 x 77 = 61779564

Therefore, the lowest common multiple of 276,918,969,924 is 61779564.

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.

276 x 918 x 969 x 924 = 226854559008

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,918,969,924, is 3.

Now, the common factors can be found like this.

276:2x 2x 3x 23

918:2x 3x 3x 3x 17

969:3x 17x 19

924:2x 2x 3x 7x 11

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 17 = 1224

Therefore, the value for common factors is 1224.

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 = 226854559008/(3x1224)

LCM = 226854559008/3672

LCM = 61779564

Thus, we can understand that the LCM of 276,918,969,924 is 61779564.

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

• LCM of 263, 452, 463, 626
• LCM of 906, 872, 798, 288
• LCM of 678, 927, 654, 110
• LCM of 188, 231, 468, 684
• LCM of 843, 739, 815, 799

1. What is the LCM of 276, 918, 969, 924?

Answer: LCM of 276, 918, 969, 924 is 61779564.

2. How to calculate the LCM of 276, 918, 969, 924?

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 276, 918, 969, 924.

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}.