Given numbers are 972,839,214,107

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

The LCM of 972,839,214,107 is 87259356.

Find LCM of 972,839,214,107 with Prime Factorization

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

2 x 107 x 486 x 839 x 1 x 1 = 87259356

Therefore, the lowest common multiple of 972,839,214,107 is 87259356.

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.

972 x 839 x 214 x 107 = 18673502184

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

839 : 1, 839

214 : 1, 2, 107, 214

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,839,214,107, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

839:839

214:2x 107

107:107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 18673502184/(1x214)

LCM = 18673502184/214

LCM = 87259356

Thus, we can understand that the LCM of 972,839,214,107 is 87259356.

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

• LCM of 287, 833, 213, 536
• LCM of 392, 157, 262, 743
• LCM of 732, 294, 227, 461
• LCM of 505, 440, 926, 233
• LCM of 289, 826, 433, 634

1. What is the LCM of 972, 839, 214, 107?

Answer: LCM of 972, 839, 214, 107 is 87259356.

2. How to calculate the LCM of 972, 839, 214, 107?

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 972, 839, 214, 107.

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}.