Given numbers are 967,240,214,753

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

The LCM of 967,240,214,753 is 6232972560.

Find LCM of 967,240,214,753 with Prime Factorization

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

2 x 3 x 967 x 40 x 107 x 251 = 6232972560

Therefore, the lowest common multiple of 967,240,214,753 is 6232972560.

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.

967 x 240 x 214 x 753 = 37397835360

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.

967 : 1, 967

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

214 : 1, 2, 107, 214

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,240,214,753, is 1.

Now, the common factors can be found like this.

967:967

240:2x 2x 2x 2x 3x 5

214:2x 107

753:3x 251

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 37397835360/(1x6)

LCM = 37397835360/6

LCM = 6232972560

Thus, we can understand that the LCM of 967,240,214,753 is 6232972560.

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

• LCM of 300, 776, 777, 414
• LCM of 938, 387, 567, 458
• LCM of 333, 931, 929, 140
• LCM of 195, 537, 331, 825
• LCM of 245, 539, 721, 241

1. What is the LCM of 967, 240, 214, 753?

Answer: LCM of 967, 240, 214, 753 is 6232972560.

2. How to calculate the LCM of 967, 240, 214, 753?

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 967, 240, 214, 753.

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}.