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LCM of 164, 306, 884, 263

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


Find the LCM of 164, 306, 884, 263 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, 306, 884, 263. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 164,306,884,263

Given numbers are 164,306,884,263

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

The LCM of 164,306,884,263 is 85789548.

Find LCM of 164,306,884,263 with Prime Factorization


2 164, 306, 884, 263
2 82, 153, 442, 263
17 41, 153, 221, 263
41, 9, 13, 263

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

2 x 2 x 17 x 41 x 9 x 13 x 263 = 85789548

Therefore, the lowest common multiple of 164,306,884,263 is 85789548.

LCM Formula to Find Lowest Common Multiple of 164,306,884,263

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 306 x 884 x 263 = 11667378528

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

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

263 : 1, 263

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,306,884,263, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

306:2x 3x 3x 17

884:2x 2x 13x 17

263:263

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 17 = 136

Therefore, the value for common factors is 136.

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 = 11667378528/(1x136)

LCM = 11667378528/136

LCM = 85789548

Thus, we can understand that the LCM of 164,306,884,263 is 85789548.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 164, 306, 884, 263

1. What is the LCM of 164, 306, 884, 263?

Answer: LCM of 164, 306, 884, 263 is 85789548.

2. How to calculate the LCM of 164, 306, 884, 263?

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, 306, 884, 263.

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}.