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LCM of 507, 520, 450, 778

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


Find the LCM of 507, 520, 450, 778 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 507, 520, 450, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 507,520,450,778

Given numbers are 507,520,450,778

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

The LCM of 507,520,450,778 is 118333800.

Find LCM of 507,520,450,778 with Prime Factorization


2 507, 520, 450, 778
3 507, 260, 225, 389
5 169, 260, 75, 389
13 169, 52, 15, 389
13, 4, 15, 389

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

2 x 3 x 5 x 13 x 13 x 4 x 15 x 389 = 118333800

Therefore, the lowest common multiple of 507,520,450,778 is 118333800.

LCM Formula to Find Lowest Common Multiple of 507,520,450,778

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.

507 x 520 x 450 x 778 = 92300364000

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.

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,520,450,778, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

520:2x 2x 2x 5x 13

450:2x 3x 3x 5x 5

778:2x 389

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

2x 2x 3x 5x 13 = 780

Therefore, the value for common factors is 780.

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 = 92300364000/(1x780)

LCM = 92300364000/780

LCM = 118333800

Thus, we can understand that the LCM of 507,520,450,778 is 118333800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 507, 520, 450, 778

1. What is the LCM of 507, 520, 450, 778?

Answer: LCM of 507, 520, 450, 778 is 118333800.

2. How to calculate the LCM of 507, 520, 450, 778?

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 507, 520, 450, 778.

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}.