Given numbers are 249,112,753,114

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

The LCM of 249,112,753,114 is 132997872.

Find LCM of 249,112,753,114 with Prime Factorization

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

2 x 3 x 83 x 56 x 251 x 19 = 132997872

Therefore, the lowest common multiple of 249,112,753,114 is 132997872.

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.

249 x 112 x 753 x 114 = 2393961696

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.

249 : 1, 3, 83, 249

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

753 : 1, 3, 251, 753

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,112,753,114, is 1.

Now, the common factors can be found like this.

249:3x 83

112:2x 2x 2x 2x 7

753:3x 251

114:2x 3x 19

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 2393961696/(1x18)

LCM = 2393961696/18

LCM = 132997872

Thus, we can understand that the LCM of 249,112,753,114 is 132997872.

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

• LCM of 850, 787, 138, 362
• LCM of 860, 648, 901, 439
• LCM of 176, 884, 470, 971
• LCM of 801, 398, 697, 579
• LCM of 621, 140, 149, 423

1. What is the LCM of 249, 112, 753, 114?

Answer: LCM of 249, 112, 753, 114 is 132997872.

2. How to calculate the LCM of 249, 112, 753, 114?

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 249, 112, 753, 114.

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}.