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LCM of 202, 156, 167, 884

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


Find the LCM of 202, 156, 167, 884 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 202, 156, 167, 884. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 202,156,167,884

Given numbers are 202,156,167,884

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

The LCM of 202,156,167,884 is 44731284.

Find LCM of 202,156,167,884 with Prime Factorization


2 202, 156, 167, 884
2 101, 78, 167, 442
13 101, 39, 167, 221
101, 3, 167, 17

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

2 x 2 x 13 x 101 x 3 x 167 x 17 = 44731284

Therefore, the lowest common multiple of 202,156,167,884 is 44731284.

LCM Formula to Find Lowest Common Multiple of 202,156,167,884

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.

202 x 156 x 167 x 884 = 4652053536

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.

202 : 1, 2, 101, 202

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

167 : 1, 167

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,156,167,884, is 1.

Now, the common factors can be found like this.

202:2x 101

156:2x 2x 3x 13

167:167

884:2x 2x 13x 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 13 = 104

Therefore, the value for common factors is 104.

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 = 4652053536/(1x104)

LCM = 4652053536/104

LCM = 44731284

Thus, we can understand that the LCM of 202,156,167,884 is 44731284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 202, 156, 167, 884

1. What is the LCM of 202, 156, 167, 884?

Answer: LCM of 202, 156, 167, 884 is 44731284.

2. How to calculate the LCM of 202, 156, 167, 884?

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 202, 156, 167, 884.

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}.