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LCM of 474, 428, 772, 698

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


Find the LCM of 474, 428, 772, 698 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 474, 428, 772, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 474,428,772,698

Given numbers are 474,428,772,698

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

The LCM of 474,428,772,698 is 6832424652.

Find LCM of 474,428,772,698 with Prime Factorization


2 474, 428, 772, 698
2 237, 214, 386, 349
237, 107, 193, 349

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

2 x 2 x 237 x 107 x 193 x 349 = 6832424652

Therefore, the lowest common multiple of 474,428,772,698 is 6832424652.

LCM Formula to Find Lowest Common Multiple of 474,428,772,698

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.

474 x 428 x 772 x 698 = 109318794432

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.

474 : 1, 2, 3, 6, 79, 158, 237, 474

428 : 1, 2, 4, 107, 214, 428

772 : 1, 2, 4, 193, 386, 772

698 : 1, 2, 349, 698

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,428,772,698, is 2.

Now, the common factors can be found like this.

474:2x 3x 79

428:2x 2x 107

772:2x 2x 193

698:2x 349

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 109318794432/(2x8)

LCM = 109318794432/16

LCM = 6832424652

Thus, we can understand that the LCM of 474,428,772,698 is 6832424652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 474, 428, 772, 698

1. What is the LCM of 474, 428, 772, 698?

Answer: LCM of 474, 428, 772, 698 is 6832424652.

2. How to calculate the LCM of 474, 428, 772, 698?

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 474, 428, 772, 698.

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}.