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LCM of 747, 598, 401, 825

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


Find the LCM of 747, 598, 401, 825 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 747, 598, 401, 825. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 747,598,401,825

Given numbers are 747,598,401,825

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

The LCM of 747,598,401,825 is 49260504150.

Find LCM of 747,598,401,825 with Prime Factorization


3 747, 598, 401, 825
249, 598, 401, 275

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

3 x 249 x 598 x 401 x 275 = 49260504150

Therefore, the lowest common multiple of 747,598,401,825 is 49260504150.

LCM Formula to Find Lowest Common Multiple of 747,598,401,825

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.

747 x 598 x 401 x 825 = 147781512450

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.

747 : 1, 3, 9, 83, 249, 747

598 : 1, 2, 13, 23, 26, 46, 299, 598

401 : 1, 401

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,598,401,825, is 1.

Now, the common factors can be found like this.

747:3x 3x 83

598:2x 13x 23

401:401

825:3x 5x 5x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 147781512450/(1x3)

LCM = 147781512450/3

LCM = 49260504150

Thus, we can understand that the LCM of 747,598,401,825 is 49260504150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 747, 598, 401, 825

1. What is the LCM of 747, 598, 401, 825?

Answer: LCM of 747, 598, 401, 825 is 49260504150.

2. How to calculate the LCM of 747, 598, 401, 825?

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 747, 598, 401, 825.

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}.