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LCM of 438, 820, 219, 751

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


Find the LCM of 438, 820, 219, 751 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 438, 820, 219, 751. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 438,820,219,751

Given numbers are 438,820,219,751

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

The LCM of 438,820,219,751 is 134864580.

Find LCM of 438,820,219,751 with Prime Factorization


2 438, 820, 219, 751
3 219, 410, 219, 751
73 73, 410, 73, 751
1, 410, 1, 751

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

2 x 3 x 73 x 1 x 410 x 1 x 751 = 134864580

Therefore, the lowest common multiple of 438,820,219,751 is 134864580.

LCM Formula to Find Lowest Common Multiple of 438,820,219,751

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.

438 x 820 x 219 x 751 = 59070686040

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.

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

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

219 : 1, 3, 73, 219

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,820,219,751, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

820:2x 2x 5x 41

219:3x 73

751:751

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 73 = 438

Therefore, the value for common factors is 438.

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 = 59070686040/(1x438)

LCM = 59070686040/438

LCM = 134864580

Thus, we can understand that the LCM of 438,820,219,751 is 134864580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 438, 820, 219, 751

1. What is the LCM of 438, 820, 219, 751?

Answer: LCM of 438, 820, 219, 751 is 134864580.

2. How to calculate the LCM of 438, 820, 219, 751?

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 438, 820, 219, 751.

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}.