Given numbers are 961,742,864

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

The LCM of 961,742,864 is 308042784.

Find LCM of 961,742,864 with Prime Factorization

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

2 x 961 x 371 x 432 = 308042784

Therefore, the lowest common multiple of 961,742,864 is 308042784.

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.

961 x 742 x 864 = 616085568

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.

961 : 1, 31, 961

742 : 1, 2, 7, 14, 53, 106, 371, 742

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,742,864, is 1.

Now, the common factors can be found like this.

961:31x 31

742:2x 7x 53

864:2x 2x 2x 2x 2x 3x 3x 3

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

2 = 2

Therefore, the value for common factors is 2.

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 = 616085568/(1x2)

LCM = 616085568/2

LCM = 308042784

Thus, we can understand that the LCM of 961,742,864 is 308042784.

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

• LCM of 919, 417, 612
• LCM of 523, 871, 503
• LCM of 137, 875, 466
• LCM of 356, 882, 850
• LCM of 800, 382, 246

1. What is the LCM of 961, 742, 864?

Answer: LCM of 961, 742, 864 is 308042784.

2. How to calculate the LCM of 961, 742, 864?

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 961, 742, 864.

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}.