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LCM of 682, 728, 435, 492, 554

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


Find the LCM of 682, 728, 435, 492, 554 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 682, 728, 435, 492, 554. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,728,435,492,554

Given numbers are 682,728,435,492,554

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

The LCM of 682,728,435,492,554 is 1226418353160.

Find LCM of 682,728,435,492,554 with Prime Factorization


2 682, 728, 435, 492, 554
2 341, 364, 435, 246, 277
3 341, 182, 435, 123, 277
341, 182, 145, 41, 277

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

2 x 2 x 3 x 341 x 182 x 145 x 41 x 277 = 1226418353160

Therefore, the lowest common multiple of 682,728,435,492,554 is 1226418353160.

LCM Formula to Find Lowest Common Multiple of 682,728,435,492,554

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.

682 x 728 x 435 x 492 x 554 = 58868080951680

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

435 : 1, 3, 5, 15, 29, 87, 145, 435

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,728,435,492,554, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

728:2x 2x 2x 7x 13

435:3x 5x 29

492:2x 2x 3x 41

554:2x 277

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 58868080951680/(1x48)

LCM = 58868080951680/48

LCM = 1226418353160

Thus, we can understand that the LCM of 682,728,435,492,554 is 1226418353160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 728, 435, 492, 554

1. What is the LCM of 682, 728, 435, 492, 554?

Answer: LCM of 682, 728, 435, 492, 554 is 1226418353160.

2. How to calculate the LCM of 682, 728, 435, 492, 554?

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 682, 728, 435, 492, 554.

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}.