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LCM of 550, 935, 747, 425

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


Find the LCM of 550, 935, 747, 425 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 550, 935, 747, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 550,935,747,425

Given numbers are 550,935,747,425

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

The LCM of 550,935,747,425 is 6984450.

Find LCM of 550,935,747,425 with Prime Factorization


5 550, 935, 747, 425
5 110, 187, 747, 85
11 22, 187, 747, 17
17 2, 17, 747, 17
2, 1, 747, 1

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

5 x 5 x 11 x 17 x 2 x 1 x 747 x 1 = 6984450

Therefore, the lowest common multiple of 550,935,747,425 is 6984450.

LCM Formula to Find Lowest Common Multiple of 550,935,747,425

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.

550 x 935 x 747 x 425 = 163261518750

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

935 : 1, 5, 11, 17, 55, 85, 187, 935

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

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,935,747,425, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

935:5x 11x 17

747:3x 3x 83

425:5x 5x 17

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

5x 5x 5x 11x 17 = 23375

Therefore, the value for common factors is 23375.

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 = 163261518750/(1x23375)

LCM = 163261518750/23375

LCM = 6984450

Thus, we can understand that the LCM of 550,935,747,425 is 6984450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 550, 935, 747, 425

1. What is the LCM of 550, 935, 747, 425?

Answer: LCM of 550, 935, 747, 425 is 6984450.

2. How to calculate the LCM of 550, 935, 747, 425?

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 550, 935, 747, 425.

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}.