Given numbers are 214,116,876,924,518

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

The LCM of 214,116,876,924,518 is 7744231572.

Find LCM of 214,116,876,924,518 with Prime Factorization

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

2 x 2 x 3 x 7 x 107 x 29 x 73 x 11 x 37 = 7744231572

Therefore, the lowest common multiple of 214,116,876,924,518 is 7744231572.

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.

214 x 116 x 876 x 924 x 518 = 10408247232768

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.

214 : 1, 2, 107, 214

116 : 1, 2, 4, 29, 58, 116

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,116,876,924,518, is 2.

Now, the common factors can be found like this.

214:2x 107

116:2x 2x 29

876:2x 2x 3x 73

924:2x 2x 3x 7x 11

518:2x 7x 37

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 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 10408247232768/(2x672)

LCM = 10408247232768/1344

LCM = 7744231572

Thus, we can understand that the LCM of 214,116,876,924,518 is 7744231572.

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

• LCM of 320, 978, 915, 424, 968
• LCM of 251, 586, 172, 638, 167
• LCM of 759, 729, 704, 365, 705
• LCM of 784, 308, 703, 172, 780
• LCM of 379, 924, 380, 998, 750

1. What is the LCM of 214, 116, 876, 924, 518?

Answer: LCM of 214, 116, 876, 924, 518 is 7744231572.

2. How to calculate the LCM of 214, 116, 876, 924, 518?

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 214, 116, 876, 924, 518.

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}.