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LCM of 303, 307, 490, 652

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


Find the LCM of 303, 307, 490, 652 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 303, 307, 490, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,307,490,652

Given numbers are 303,307,490,652

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

The LCM of 303,307,490,652 is 14859174540.

Find LCM of 303,307,490,652 with Prime Factorization


2 303, 307, 490, 652
303, 307, 245, 326

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

2 x 303 x 307 x 245 x 326 = 14859174540

Therefore, the lowest common multiple of 303,307,490,652 is 14859174540.

LCM Formula to Find Lowest Common Multiple of 303,307,490,652

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.

303 x 307 x 490 x 652 = 29718349080

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.

303 : 1, 3, 101, 303

307 : 1, 307

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,307,490,652, is 1.

Now, the common factors can be found like this.

303:3x 101

307:307

490:2x 5x 7x 7

652:2x 2x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 29718349080/(1x2)

LCM = 29718349080/2

LCM = 14859174540

Thus, we can understand that the LCM of 303,307,490,652 is 14859174540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 307, 490, 652

1. What is the LCM of 303, 307, 490, 652?

Answer: LCM of 303, 307, 490, 652 is 14859174540.

2. How to calculate the LCM of 303, 307, 490, 652?

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 303, 307, 490, 652.

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}.