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LCM of 689, 921, 507, 307

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


Find the LCM of 689, 921, 507, 307 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, 921, 507, 307. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 689,921,507,307

Given numbers are 689,921,507,307

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

The LCM of 689,921,507,307 is 8249397.

Find LCM of 689,921,507,307 with Prime Factorization


3 689, 921, 507, 307
13 689, 307, 169, 307
307 53, 307, 13, 307
53, 1, 13, 1

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

3 x 13 x 307 x 53 x 1 x 13 x 1 = 8249397

Therefore, the lowest common multiple of 689,921,507,307 is 8249397.

LCM Formula to Find Lowest Common Multiple of 689,921,507,307

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 921 x 507 x 307 = 98770030281

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

921 : 1, 3, 307, 921

507 : 1, 3, 13, 39, 169, 507

307 : 1, 307

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,921,507,307, is 1.

Now, the common factors can be found like this.

689:13x 53

921:3x 307

507:3x 13x 13

307:307

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

3x 13x 307 = 11973

Therefore, the value for common factors is 11973.

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 = 98770030281/(1x11973)

LCM = 98770030281/11973

LCM = 8249397

Thus, we can understand that the LCM of 689,921,507,307 is 8249397.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 689, 921, 507, 307

1. What is the LCM of 689, 921, 507, 307?

Answer: LCM of 689, 921, 507, 307 is 8249397.

2. How to calculate the LCM of 689, 921, 507, 307?

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, 921, 507, 307.

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}.