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LCM of 428, 677, 529, 626, 290

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


Find the LCM of 428, 677, 529, 626, 290 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 428, 677, 529, 626, 290. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 428,677,529,626,290

Given numbers are 428,677,529,626,290

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

The LCM of 428,677,529,626,290 is 6956654735740.

Find LCM of 428,677,529,626,290 with Prime Factorization


2 428, 677, 529, 626, 290
214, 677, 529, 313, 145

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

2 x 214 x 677 x 529 x 313 x 145 = 6956654735740

Therefore, the lowest common multiple of 428,677,529,626,290 is 6956654735740.

LCM Formula to Find Lowest Common Multiple of 428,677,529,626,290

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.

428 x 677 x 529 x 626 x 290 = 27826618942960

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.

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

677 : 1, 677

529 : 1, 23, 529

626 : 1, 2, 313, 626

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,677,529,626,290, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

677:677

529:23x 23

626:2x 313

290:2x 5x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27826618942960/(1x4)

LCM = 27826618942960/4

LCM = 6956654735740

Thus, we can understand that the LCM of 428,677,529,626,290 is 6956654735740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 428, 677, 529, 626, 290

1. What is the LCM of 428, 677, 529, 626, 290?

Answer: LCM of 428, 677, 529, 626, 290 is 6956654735740.

2. How to calculate the LCM of 428, 677, 529, 626, 290?

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 428, 677, 529, 626, 290.

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}.