Given numbers are 276,352,517,924

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

The LCM of 276,352,517,924 is 7990752.

Find LCM of 276,352,517,924 with Prime Factorization

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

2 x 2 x 3 x 11 x 23 x 8 x 47 x 7 = 7990752

Therefore, the lowest common multiple of 276,352,517,924 is 7990752.

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 352 x 517 x 924 = 46410287616

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

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

517 : 1, 11, 47, 517

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,352,517,924, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

352:2x 2x 2x 2x 2x 11

517:11x 47

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 2x 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 46410287616/(1x5808)

LCM = 46410287616/5808

LCM = 7990752

Thus, we can understand that the LCM of 276,352,517,924 is 7990752.

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

• LCM of 510, 830, 512, 581
• LCM of 459, 550, 435, 690
• LCM of 824, 566, 946, 786
• LCM of 542, 642, 998, 993
• LCM of 519, 801, 783, 699

1. What is the LCM of 276, 352, 517, 924?

Answer: LCM of 276, 352, 517, 924 is 7990752.

2. How to calculate the LCM of 276, 352, 517, 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, 352, 517, 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}.