Given numbers are 214,107,853,967

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

The LCM of 214,107,853,967 is 176518114.

Find LCM of 214,107,853,967 with Prime Factorization

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

107 x 2 x 1 x 853 x 967 = 176518114

Therefore, the lowest common multiple of 214,107,853,967 is 176518114.

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 107 x 853 x 967 = 18887438198

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

107 : 1, 107

853 : 1, 853

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,107,853,967, is 1.

Now, the common factors can be found like this.

214:2x 107

107:107

853:853

967:967

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

107 = 107

Therefore, the value for common factors is 107.

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 = 18887438198/(1x107)

LCM = 18887438198/107

LCM = 176518114

Thus, we can understand that the LCM of 214,107,853,967 is 176518114.

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

• LCM of 735, 538, 730, 630
• LCM of 217, 545, 856, 192
• LCM of 276, 768, 433, 625
• LCM of 229, 465, 467, 657
• LCM of 423, 751, 157, 983

1. What is the LCM of 214, 107, 853, 967?

Answer: LCM of 214, 107, 853, 967 is 176518114.

2. How to calculate the LCM of 214, 107, 853, 967?

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, 107, 853, 967.

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}.