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LCM of 757, 900, 507, 507

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


Find the LCM of 757, 900, 507, 507 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 757, 900, 507, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 757,900,507,507

Given numbers are 757,900,507,507

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

The LCM of 757,900,507,507 is 115139700.

Find LCM of 757,900,507,507 with Prime Factorization


3 757, 900, 507, 507
13 757, 300, 169, 169
13 757, 300, 13, 13
757, 300, 1, 1

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

3 x 13 x 13 x 757 x 300 x 1 x 1 = 115139700

Therefore, the lowest common multiple of 757,900,507,507 is 115139700.

LCM Formula to Find Lowest Common Multiple of 757,900,507,507

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.

757 x 900 x 507 x 507 = 175127483700

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.

757 : 1, 757

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,900,507,507, is 1.

Now, the common factors can be found like this.

757:757

900:2x 2x 3x 3x 5x 5

507:3x 13x 13

507:3x 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.

3x 3x 13x 13 = 1521

Therefore, the value for common factors is 1521.

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 = 175127483700/(1x1521)

LCM = 175127483700/1521

LCM = 115139700

Thus, we can understand that the LCM of 757,900,507,507 is 115139700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 757, 900, 507, 507

1. What is the LCM of 757, 900, 507, 507?

Answer: LCM of 757, 900, 507, 507 is 115139700.

2. How to calculate the LCM of 757, 900, 507, 507?

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 757, 900, 507, 507.

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}.