Given numbers are 979,289,468,104,714

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

The LCM of 979,289,468,104,714 is 1853763912.

Find LCM of 979,289,468,104,714 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 979 x 17 x 3 x 2 x 7 = 1853763912

Therefore, the lowest common multiple of 979,289,468,104,714 is 1853763912.

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.

979 x 289 x 468 x 104 x 714 = 9832363789248

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.

979 : 1, 11, 89, 979

289 : 1, 17, 289

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

104 : 1, 2, 4, 8, 13, 26, 52, 104

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,289,468,104,714, is 1.

Now, the common factors can be found like this.

979:11x 89

289:17x 17

468:2x 2x 3x 3x 13

104:2x 2x 2x 13

714:2x 3x 7x 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 13x 17 = 5304

Therefore, the value for common factors is 5304.

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 = 9832363789248/(1x5304)

LCM = 9832363789248/5304

LCM = 1853763912

Thus, we can understand that the LCM of 979,289,468,104,714 is 1853763912.

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

• LCM of 908, 753, 139, 258, 498
• LCM of 107, 982, 539, 193, 911
• LCM of 289, 501, 123, 892, 683
• LCM of 330, 670, 545, 994, 134
• LCM of 145, 681, 106, 988, 532

1. What is the LCM of 979, 289, 468, 104, 714?

Answer: LCM of 979, 289, 468, 104, 714 is 1853763912.

2. How to calculate the LCM of 979, 289, 468, 104, 714?

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 979, 289, 468, 104, 714.

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}.