Given numbers are 734,22,278

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

The LCM of 734,22,278 is 1122286.

Find LCM of 734,22,278 with Prime Factorization

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

2 x 367 x 11 x 139 = 1122286

Therefore, the lowest common multiple of 734,22,278 is 1122286.

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.

734 x 22 x 278 = 4489144

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.

734 : 1, 2, 367, 734

22 : 1, 2, 11, 22

278 : 1, 2, 139, 278

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,22,278, is 2.

Now, the common factors can be found like this.

734:2x 367

22:2x 11

278:2x 139

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 = 4489144/(2x2)

LCM = 4489144/4

LCM = 1122286

Thus, we can understand that the LCM of 734,22,278 is 1122286.

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

• LCM of 274, 24, 113
• LCM of 110, 89, 320
• LCM of 740, 23, 162
• LCM of 782, 60, 132
• LCM of 313, 47, 113

1. What is the LCM of 734, 22, 278?

Answer: LCM of 734, 22, 278 is 1122286.

2. How to calculate the LCM of 734, 22, 278?

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 734, 22, 278.

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}.