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LCM of 315, 428, 326, 369, 619

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


Find the LCM of 315, 428, 326, 369, 619 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 315, 428, 326, 369, 619. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 315,428,326,369,619

Given numbers are 315,428,326,369,619

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

The LCM of 315,428,326,369,619 is 557720275140.

Find LCM of 315,428,326,369,619 with Prime Factorization


2 315, 428, 326, 369, 619
3 315, 214, 163, 369, 619
3 105, 214, 163, 123, 619
35, 214, 163, 41, 619

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

2 x 3 x 3 x 35 x 214 x 163 x 41 x 619 = 557720275140

Therefore, the lowest common multiple of 315,428,326,369,619 is 557720275140.

LCM Formula to Find Lowest Common Multiple of 315,428,326,369,619

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.

315 x 428 x 326 x 369 x 619 = 10038964952520

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

428 : 1, 2, 4, 107, 214, 428

326 : 1, 2, 163, 326

369 : 1, 3, 9, 41, 123, 369

619 : 1, 619

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,428,326,369,619, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

428:2x 2x 107

326:2x 163

369:3x 3x 41

619:619

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 10038964952520/(1x18)

LCM = 10038964952520/18

LCM = 557720275140

Thus, we can understand that the LCM of 315,428,326,369,619 is 557720275140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 315, 428, 326, 369, 619

1. What is the LCM of 315, 428, 326, 369, 619?

Answer: LCM of 315, 428, 326, 369, 619 is 557720275140.

2. How to calculate the LCM of 315, 428, 326, 369, 619?

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 315, 428, 326, 369, 619.

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}.