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LCM of 612, 225, 306, 119

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 612, 225, 306, 119 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 612, 225, 306, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 612,225,306,119

Given numbers are 612,225,306,119

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

The LCM of 612,225,306,119 is 107100.

Find LCM of 612,225,306,119 with Prime Factorization


2 612, 225, 306, 119
3 306, 225, 153, 119
3 102, 75, 51, 119
17 34, 25, 17, 119
2, 25, 1, 7

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

2 x 3 x 3 x 17 x 2 x 25 x 1 x 7 = 107100

Therefore, the lowest common multiple of 612,225,306,119 is 107100.

LCM Formula to Find Lowest Common Multiple of 612,225,306,119

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.

612 x 225 x 306 x 119 = 5014207800

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.

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

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

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,225,306,119, is 1.

Now, the common factors can be found like this.

612:2x 2x 3x 3x 17

225:3x 3x 5x 5

306:2x 3x 3x 17

119:7x 17

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

2x 3x 3x 3x 3x 17x 17 = 46818

Therefore, the value for common factors is 46818.

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 = 5014207800/(1x46818)

LCM = 5014207800/46818

LCM = 107100

Thus, we can understand that the LCM of 612,225,306,119 is 107100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 612, 225, 306, 119

1. What is the LCM of 612, 225, 306, 119?

Answer: LCM of 612, 225, 306, 119 is 107100.

2. How to calculate the LCM of 612, 225, 306, 119?

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 612, 225, 306, 119.

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}.