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LCM of 804, 649, 697, 425

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


Find the LCM of 804, 649, 697, 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 804, 649, 697, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 804,649,697,425

Given numbers are 804,649,697,425

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

The LCM of 804,649,697,425 is 9092295300.

Find LCM of 804,649,697,425 with Prime Factorization


17 804, 649, 697, 425
804, 649, 41, 25

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

17 x 804 x 649 x 41 x 25 = 9092295300

Therefore, the lowest common multiple of 804,649,697,425 is 9092295300.

LCM Formula to Find Lowest Common Multiple of 804,649,697,425

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.

804 x 649 x 697 x 425 = 154569020100

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.

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

649 : 1, 11, 59, 649

697 : 1, 17, 41, 697

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 804,649,697,425, is 1.

Now, the common factors can be found like this.

804:2x 2x 3x 67

649:11x 59

697:17x 41

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.

17 = 17

Therefore, the value for common factors is 17.

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 = 154569020100/(1x17)

LCM = 154569020100/17

LCM = 9092295300

Thus, we can understand that the LCM of 804,649,697,425 is 9092295300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 804, 649, 697, 425

1. What is the LCM of 804, 649, 697, 425?

Answer: LCM of 804, 649, 697, 425 is 9092295300.

2. How to calculate the LCM of 804, 649, 697, 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 804, 649, 697, 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}.