Given numbers are 78,28,961

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

The LCM of 78,28,961 is 1049412.

Find LCM of 78,28,961 with Prime Factorization

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

2 x 39 x 14 x 961 = 1049412

Therefore, the lowest common multiple of 78,28,961 is 1049412.

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.

78 x 28 x 961 = 2098824

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

28 : 1, 2, 4, 7, 14, 28

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,28,961, is 1.

Now, the common factors can be found like this.

78:2x 3x 13

28:2x 2x 7

961:31x 31

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 = 2098824/(1x2)

LCM = 2098824/2

LCM = 1049412

Thus, we can understand that the LCM of 78,28,961 is 1049412.

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

• LCM of 86, 59, 660
• LCM of 87, 53, 859
• LCM of 38, 69, 314
• LCM of 44, 42, 833
• LCM of 31, 73, 891

1. What is the LCM of 78, 28, 961?

Answer: LCM of 78, 28, 961 is 1049412.

2. How to calculate the LCM of 78, 28, 961?

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 78, 28, 961.

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}.