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LCM of 202, 742, 202, 252, 801

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


Find the LCM of 202, 742, 202, 252, 801 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, 742, 202, 252, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 202,742,202,252,801

Given numbers are 202,742,202,252,801

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

The LCM of 202,742,202,252,801 is 120057084.

Find LCM of 202,742,202,252,801 with Prime Factorization


2 202, 742, 202, 252, 801
3 101, 371, 101, 126, 801
3 101, 371, 101, 42, 267
7 101, 371, 101, 14, 89
101 101, 53, 101, 2, 89
1, 53, 1, 2, 89

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

2 x 3 x 3 x 7 x 101 x 1 x 53 x 1 x 2 x 89 = 120057084

Therefore, the lowest common multiple of 202,742,202,252,801 is 120057084.

LCM Formula to Find Lowest Common Multiple of 202,742,202,252,801

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 742 x 202 x 252 x 801 = 6111385803936

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

202 : 1, 2, 101, 202

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,742,202,252,801, is 1.

Now, the common factors can be found like this.

202:2x 101

742:2x 7x 53

202:2x 101

252:2x 2x 3x 3x 7

801:3x 3x 89

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 3x 7x 101 = 50904

Therefore, the value for common factors is 50904.

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 = 6111385803936/(1x50904)

LCM = 6111385803936/50904

LCM = 120057084

Thus, we can understand that the LCM of 202,742,202,252,801 is 120057084.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 202, 742, 202, 252, 801

1. What is the LCM of 202, 742, 202, 252, 801?

Answer: LCM of 202, 742, 202, 252, 801 is 120057084.

2. How to calculate the LCM of 202, 742, 202, 252, 801?

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, 742, 202, 252, 801.

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}.