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LCM of 553, 796, 674, 456, 698

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


Find the LCM of 553, 796, 674, 456, 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 553, 796, 674, 456, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,796,674,456,698

Given numbers are 553,796,674,456,698

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

The LCM of 553,796,674,456,698 is 5901988761816.

Find LCM of 553,796,674,456,698 with Prime Factorization


2 553, 796, 674, 456, 698
2 553, 398, 337, 228, 349
553, 199, 337, 114, 349

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

2 x 2 x 553 x 199 x 337 x 114 x 349 = 5901988761816

Therefore, the lowest common multiple of 553,796,674,456,698 is 5901988761816.

LCM Formula to Find Lowest Common Multiple of 553,796,674,456,698

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.

553 x 796 x 674 x 456 x 698 = 94431820189056

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.

553 : 1, 7, 79, 553

796 : 1, 2, 4, 199, 398, 796

674 : 1, 2, 337, 674

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,796,674,456,698, is 1.

Now, the common factors can be found like this.

553:7x 79

796:2x 2x 199

674:2x 337

456:2x 2x 2x 3x 19

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 94431820189056/(1x16)

LCM = 94431820189056/16

LCM = 5901988761816

Thus, we can understand that the LCM of 553,796,674,456,698 is 5901988761816.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 796, 674, 456, 698

1. What is the LCM of 553, 796, 674, 456, 698?

Answer: LCM of 553, 796, 674, 456, 698 is 5901988761816.

2. How to calculate the LCM of 553, 796, 674, 456, 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 553, 796, 674, 456, 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}.