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LCM of 575, 143, 915, 676

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


Find the LCM of 575, 143, 915, 676 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 575, 143, 915, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,143,915,676

Given numbers are 575,143,915,676

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

The LCM of 575,143,915,676 is 782453100.

Find LCM of 575,143,915,676 with Prime Factorization


5 575, 143, 915, 676
13 115, 143, 183, 676
115, 11, 183, 52

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

5 x 13 x 115 x 11 x 183 x 52 = 782453100

Therefore, the lowest common multiple of 575,143,915,676 is 782453100.

LCM Formula to Find Lowest Common Multiple of 575,143,915,676

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.

575 x 143 x 915 x 676 = 50859451500

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.

575 : 1, 5, 23, 25, 115, 575

143 : 1, 11, 13, 143

915 : 1, 3, 5, 15, 61, 183, 305, 915

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,143,915,676, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

143:11x 13

915:3x 5x 61

676:2x 2x 13x 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 = 50859451500/(1x65)

LCM = 50859451500/65

LCM = 782453100

Thus, we can understand that the LCM of 575,143,915,676 is 782453100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 143, 915, 676

1. What is the LCM of 575, 143, 915, 676?

Answer: LCM of 575, 143, 915, 676 is 782453100.

2. How to calculate the LCM of 575, 143, 915, 676?

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 575, 143, 915, 676.

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}.