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LCM of 767, 401, 545, 260

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


Find the LCM of 767, 401, 545, 260 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 767, 401, 545, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,401,545,260

Given numbers are 767,401,545,260

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

The LCM of 767,401,545,260 is 670496060.

Find LCM of 767,401,545,260 with Prime Factorization


5 767, 401, 545, 260
13 767, 401, 109, 52
59, 401, 109, 4

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

5 x 13 x 59 x 401 x 109 x 4 = 670496060

Therefore, the lowest common multiple of 767,401,545,260 is 670496060.

LCM Formula to Find Lowest Common Multiple of 767,401,545,260

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.

767 x 401 x 545 x 260 = 43582243900

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.

767 : 1, 13, 59, 767

401 : 1, 401

545 : 1, 5, 109, 545

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,401,545,260, is 1.

Now, the common factors can be found like this.

767:13x 59

401:401

545:5x 109

260:2x 2x 5x 13

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

5x 13 = 65

Therefore, the value for common factors is 65.

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 = 43582243900/(1x65)

LCM = 43582243900/65

LCM = 670496060

Thus, we can understand that the LCM of 767,401,545,260 is 670496060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 401, 545, 260

1. What is the LCM of 767, 401, 545, 260?

Answer: LCM of 767, 401, 545, 260 is 670496060.

2. How to calculate the LCM of 767, 401, 545, 260?

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 767, 401, 545, 260.

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}.