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LCM of 303, 525, 505, 748

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


Find the LCM of 303, 525, 505, 748 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 303, 525, 505, 748. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,525,505,748

Given numbers are 303,525,505,748

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

The LCM of 303,525,505,748 is 39662700.

Find LCM of 303,525,505,748 with Prime Factorization


3 303, 525, 505, 748
5 101, 175, 505, 748
101 101, 35, 101, 748
1, 35, 1, 748

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

3 x 5 x 101 x 1 x 35 x 1 x 748 = 39662700

Therefore, the lowest common multiple of 303,525,505,748 is 39662700.

LCM Formula to Find Lowest Common Multiple of 303,525,505,748

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.

303 x 525 x 505 x 748 = 60088990500

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.

303 : 1, 3, 101, 303

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

505 : 1, 5, 101, 505

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,525,505,748, is 1.

Now, the common factors can be found like this.

303:3x 101

525:3x 5x 5x 7

505:5x 101

748:2x 2x 11x 17

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

3x 5x 101 = 1515

Therefore, the value for common factors is 1515.

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 = 60088990500/(1x1515)

LCM = 60088990500/1515

LCM = 39662700

Thus, we can understand that the LCM of 303,525,505,748 is 39662700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 525, 505, 748

1. What is the LCM of 303, 525, 505, 748?

Answer: LCM of 303, 525, 505, 748 is 39662700.

2. How to calculate the LCM of 303, 525, 505, 748?

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 303, 525, 505, 748.

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}.