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LCM of 3, 146, 966, 207

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


Find the LCM of 3, 146, 966, 207 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 3, 146, 966, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3,146,966,207

Given numbers are 3,146,966,207

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

The LCM of 3,146,966,207 is 211554.

Find LCM of 3,146,966,207 with Prime Factorization


2 3, 146, 966, 207
3 3, 73, 483, 207
23 1, 73, 161, 69
1, 73, 7, 3

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

2 x 3 x 23 x 1 x 73 x 7 x 3 = 211554

Therefore, the lowest common multiple of 3,146,966,207 is 211554.

LCM Formula to Find Lowest Common Multiple of 3,146,966,207

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.

3 x 146 x 966 x 207 = 87583356

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.

3 : 1, 3

146 : 1, 2, 73, 146

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3,146,966,207, is 1.

Now, the common factors can be found like this.

3:3

146:2x 73

966:2x 3x 7x 23

207:3x 3x 23

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 23 = 414

Therefore, the value for common factors is 414.

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 = 87583356/(1x414)

LCM = 87583356/414

LCM = 211554

Thus, we can understand that the LCM of 3,146,966,207 is 211554.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 3, 146, 966, 207

1. What is the LCM of 3, 146, 966, 207?

Answer: LCM of 3, 146, 966, 207 is 211554.

2. How to calculate the LCM of 3, 146, 966, 207?

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 3, 146, 966, 207.

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}.