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LCM of 575, 777, 460, 707

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


Find the LCM of 575, 777, 460, 707 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, 777, 460, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,777,460,707

Given numbers are 575,777,460,707

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

The LCM of 575,777,460,707 is 180497100.

Find LCM of 575,777,460,707 with Prime Factorization


5 575, 777, 460, 707
7 115, 777, 92, 707
23 115, 111, 92, 101
5, 111, 4, 101

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

5 x 7 x 23 x 5 x 111 x 4 x 101 = 180497100

Therefore, the lowest common multiple of 575,777,460,707 is 180497100.

LCM Formula to Find Lowest Common Multiple of 575,777,460,707

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 777 x 460 x 707 = 145300165500

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

777 : 1, 3, 7, 21, 37, 111, 259, 777

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,777,460,707, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

777:3x 7x 37

460:2x 2x 5x 23

707:7x 101

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

5x 7x 23 = 805

Therefore, the value for common factors is 805.

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 = 145300165500/(1x805)

LCM = 145300165500/805

LCM = 180497100

Thus, we can understand that the LCM of 575,777,460,707 is 180497100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 777, 460, 707

1. What is the LCM of 575, 777, 460, 707?

Answer: LCM of 575, 777, 460, 707 is 180497100.

2. How to calculate the LCM of 575, 777, 460, 707?

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, 777, 460, 707.

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}.