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LCM of 800, 619, 438, 113

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


Find the LCM of 800, 619, 438, 113 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 800, 619, 438, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 800,619,438,113

Given numbers are 800,619,438,113

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

The LCM of 800,619,438,113 is 12254714400.

Find LCM of 800,619,438,113 with Prime Factorization


2 800, 619, 438, 113
400, 619, 219, 113

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

2 x 400 x 619 x 219 x 113 = 12254714400

Therefore, the lowest common multiple of 800,619,438,113 is 12254714400.

LCM Formula to Find Lowest Common Multiple of 800,619,438,113

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.

800 x 619 x 438 x 113 = 24509428800

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

619 : 1, 619

438 : 1, 2, 3, 6, 73, 146, 219, 438

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,619,438,113, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

619:619

438:2x 3x 73

113:113

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 = 24509428800/(1x2)

LCM = 24509428800/2

LCM = 12254714400

Thus, we can understand that the LCM of 800,619,438,113 is 12254714400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 800, 619, 438, 113

1. What is the LCM of 800, 619, 438, 113?

Answer: LCM of 800, 619, 438, 113 is 12254714400.

2. How to calculate the LCM of 800, 619, 438, 113?

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 800, 619, 438, 113.

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}.