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LCM of 428, 683, 889, 604, 692

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


Find the LCM of 428, 683, 889, 604, 692 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 428, 683, 889, 604, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,683,889,604,692

Given numbers are 428,683,889,604,692

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

The LCM of 428,683,889,604,692 is 6788741688428.

Find LCM of 428,683,889,604,692 with Prime Factorization


2 428, 683, 889, 604, 692
2 214, 683, 889, 302, 346
107, 683, 889, 151, 173

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

2 x 2 x 107 x 683 x 889 x 151 x 173 = 6788741688428

Therefore, the lowest common multiple of 428,683,889,604,692 is 6788741688428.

LCM Formula to Find Lowest Common Multiple of 428,683,889,604,692

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.

428 x 683 x 889 x 604 x 692 = 108619867014848

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.

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

683 : 1, 683

889 : 1, 7, 127, 889

604 : 1, 2, 4, 151, 302, 604

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,683,889,604,692, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

683:683

889:7x 127

604:2x 2x 151

692:2x 2x 173

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 108619867014848/(1x16)

LCM = 108619867014848/16

LCM = 6788741688428

Thus, we can understand that the LCM of 428,683,889,604,692 is 6788741688428.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 683, 889, 604, 692

1. What is the LCM of 428, 683, 889, 604, 692?

Answer: LCM of 428, 683, 889, 604, 692 is 6788741688428.

2. How to calculate the LCM of 428, 683, 889, 604, 692?

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 428, 683, 889, 604, 692.

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}.