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LCM of 575, 763, 763, 661

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


Find the LCM of 575, 763, 763, 661 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, 763, 763, 661. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,763,763,661

Given numbers are 575,763,763,661

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

The LCM of 575,763,763,661 is 289997225.

Find LCM of 575,763,763,661 with Prime Factorization


7 575, 763, 763, 661
109 575, 109, 109, 661
575, 1, 1, 661

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

7 x 109 x 575 x 1 x 1 x 661 = 289997225

Therefore, the lowest common multiple of 575,763,763,661 is 289997225.

LCM Formula to Find Lowest Common Multiple of 575,763,763,661

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 763 x 763 x 661 = 221267882675

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

763 : 1, 7, 109, 763

763 : 1, 7, 109, 763

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,763,763,661, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

763:7x 109

763:7x 109

661:661

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

7x 109 = 763

Therefore, the value for common factors is 763.

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 = 221267882675/(1x763)

LCM = 221267882675/763

LCM = 289997225

Thus, we can understand that the LCM of 575,763,763,661 is 289997225.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 763, 763, 661

1. What is the LCM of 575, 763, 763, 661?

Answer: LCM of 575, 763, 763, 661 is 289997225.

2. How to calculate the LCM of 575, 763, 763, 661?

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, 763, 763, 661.

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}.