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LCM of 156, 221, 306, 421

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


Find the LCM of 156, 221, 306, 421 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 156, 221, 306, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 156,221,306,421

Given numbers are 156,221,306,421

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

The LCM of 156,221,306,421 is 3349476.

Find LCM of 156,221,306,421 with Prime Factorization


2 156, 221, 306, 421
3 78, 221, 153, 421
13 26, 221, 51, 421
17 2, 17, 51, 421
2, 1, 3, 421

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

2 x 3 x 13 x 17 x 2 x 1 x 3 x 421 = 3349476

Therefore, the lowest common multiple of 156,221,306,421 is 3349476.

LCM Formula to Find Lowest Common Multiple of 156,221,306,421

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.

156 x 221 x 306 x 421 = 4441405176

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

221 : 1, 13, 17, 221

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

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,221,306,421, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

221:13x 17

306:2x 3x 3x 17

421:421

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 13x 17 = 1326

Therefore, the value for common factors is 1326.

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 = 4441405176/(1x1326)

LCM = 4441405176/1326

LCM = 3349476

Thus, we can understand that the LCM of 156,221,306,421 is 3349476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 156, 221, 306, 421

1. What is the LCM of 156, 221, 306, 421?

Answer: LCM of 156, 221, 306, 421 is 3349476.

2. How to calculate the LCM of 156, 221, 306, 421?

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 156, 221, 306, 421.

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}.