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LCM of 164, 357, 572, 306

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


Find the LCM of 164, 357, 572, 306 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 164, 357, 572, 306. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 164,357,572,306

Given numbers are 164,357,572,306

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

The LCM of 164,357,572,306 is 25117092.

Find LCM of 164,357,572,306 with Prime Factorization


2 164, 357, 572, 306
2 82, 357, 286, 153
3 41, 357, 143, 153
17 41, 119, 143, 51
41, 7, 143, 3

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

2 x 2 x 3 x 17 x 41 x 7 x 143 x 3 = 25117092

Therefore, the lowest common multiple of 164,357,572,306 is 25117092.

LCM Formula to Find Lowest Common Multiple of 164,357,572,306

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.

164 x 357 x 572 x 306 = 10247773536

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.

164 : 1, 2, 4, 41, 82, 164

357 : 1, 3, 7, 17, 21, 51, 119, 357

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,357,572,306, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

357:3x 7x 17

572:2x 2x 11x 13

306:2x 3x 3x 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 2x 2x 3x 17 = 408

Therefore, the value for common factors is 408.

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 = 10247773536/(1x408)

LCM = 10247773536/408

LCM = 25117092

Thus, we can understand that the LCM of 164,357,572,306 is 25117092.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 164, 357, 572, 306

1. What is the LCM of 164, 357, 572, 306?

Answer: LCM of 164, 357, 572, 306 is 25117092.

2. How to calculate the LCM of 164, 357, 572, 306?

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 164, 357, 572, 306.

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}.