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LCM of 803, 438, 689, 428

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


Find the LCM of 803, 438, 689, 428 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 803, 438, 689, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,438,689,428

Given numbers are 803,438,689,428

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

The LCM of 803,438,689,428 is 710394828.

Find LCM of 803,438,689,428 with Prime Factorization


2 803, 438, 689, 428
73 803, 219, 689, 214
11, 3, 689, 214

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

2 x 73 x 11 x 3 x 689 x 214 = 710394828

Therefore, the lowest common multiple of 803,438,689,428 is 710394828.

LCM Formula to Find Lowest Common Multiple of 803,438,689,428

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.

803 x 438 x 689 x 428 = 103717644888

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.

803 : 1, 11, 73, 803

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

689 : 1, 13, 53, 689

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,438,689,428, is 1.

Now, the common factors can be found like this.

803:11x 73

438:2x 3x 73

689:13x 53

428:2x 2x 107

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

2x 73 = 146

Therefore, the value for common factors is 146.

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 = 103717644888/(1x146)

LCM = 103717644888/146

LCM = 710394828

Thus, we can understand that the LCM of 803,438,689,428 is 710394828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 438, 689, 428

1. What is the LCM of 803, 438, 689, 428?

Answer: LCM of 803, 438, 689, 428 is 710394828.

2. How to calculate the LCM of 803, 438, 689, 428?

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 803, 438, 689, 428.

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}.