Given numbers are 306,119,173

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

The LCM of 306,119,173 is 370566.

Find LCM of 306,119,173 with Prime Factorization

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

17 x 18 x 7 x 173 = 370566

Therefore, the lowest common multiple of 306,119,173 is 370566.

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.

306 x 119 x 173 = 6299622

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

119 : 1, 7, 17, 119

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,119,173, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

119:7x 17

173:173

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

17 = 17

Therefore, the value for common factors is 17.

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 = 6299622/(1x17)

LCM = 6299622/17

LCM = 370566

Thus, we can understand that the LCM of 306,119,173 is 370566.

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

• LCM of 889, 644, 707
• LCM of 136, 885, 507
• LCM of 691, 520, 637
• LCM of 592, 804, 949
• LCM of 679, 251, 947

1. What is the LCM of 306, 119, 173?

Answer: LCM of 306, 119, 173 is 370566.

2. How to calculate the LCM of 306, 119, 173?

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 306, 119, 173.

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}.