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LCM of 202, 668, 753, 720

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


Find the LCM of 202, 668, 753, 720 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, 668, 753, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 202,668,753,720

Given numbers are 202,668,753,720

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

The LCM of 202,668,753,720 is 3048204240.

Find LCM of 202,668,753,720 with Prime Factorization


2 202, 668, 753, 720
2 101, 334, 753, 360
3 101, 167, 753, 180
101, 167, 251, 60

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

2 x 2 x 3 x 101 x 167 x 251 x 60 = 3048204240

Therefore, the lowest common multiple of 202,668,753,720 is 3048204240.

LCM Formula to Find Lowest Common Multiple of 202,668,753,720

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 668 x 753 x 720 = 73156901760

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

668 : 1, 2, 4, 167, 334, 668

753 : 1, 3, 251, 753

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,668,753,720, is 1.

Now, the common factors can be found like this.

202:2x 101

668:2x 2x 167

753:3x 251

720:2x 2x 2x 2x 3x 3x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 73156901760/(1x24)

LCM = 73156901760/24

LCM = 3048204240

Thus, we can understand that the LCM of 202,668,753,720 is 3048204240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 202, 668, 753, 720

1. What is the LCM of 202, 668, 753, 720?

Answer: LCM of 202, 668, 753, 720 is 3048204240.

2. How to calculate the LCM of 202, 668, 753, 720?

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, 668, 753, 720.

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}.