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LCM of 689, 764, 183, 854

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


Find the LCM of 689, 764, 183, 854 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 689, 764, 183, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,764,183,854

Given numbers are 689,764,183,854

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

The LCM of 689,764,183,854 is 674313276.

Find LCM of 689,764,183,854 with Prime Factorization


2 689, 764, 183, 854
61 689, 382, 183, 427
689, 382, 3, 7

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

2 x 61 x 689 x 382 x 3 x 7 = 674313276

Therefore, the lowest common multiple of 689,764,183,854 is 674313276.

LCM Formula to Find Lowest Common Multiple of 689,764,183,854

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.

689 x 764 x 183 x 854 = 82266219672

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.

689 : 1, 13, 53, 689

764 : 1, 2, 4, 191, 382, 764

183 : 1, 3, 61, 183

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,764,183,854, is 1.

Now, the common factors can be found like this.

689:13x 53

764:2x 2x 191

183:3x 61

854:2x 7x 61

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

2x 61 = 122

Therefore, the value for common factors is 122.

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 = 82266219672/(1x122)

LCM = 82266219672/122

LCM = 674313276

Thus, we can understand that the LCM of 689,764,183,854 is 674313276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 764, 183, 854

1. What is the LCM of 689, 764, 183, 854?

Answer: LCM of 689, 764, 183, 854 is 674313276.

2. How to calculate the LCM of 689, 764, 183, 854?

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 689, 764, 183, 854.

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}.