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LCM of 334, 626, 689, 628, 924

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


Find the LCM of 334, 626, 689, 628, 924 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 334, 626, 689, 628, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,626,689,628,924

Given numbers are 334,626,689,628,924

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

The LCM of 334,626,689,628,924 is 5224583255892.

Find LCM of 334,626,689,628,924 with Prime Factorization


2 334, 626, 689, 628, 924
2 167, 313, 689, 314, 462
167, 313, 689, 157, 231

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

2 x 2 x 167 x 313 x 689 x 157 x 231 = 5224583255892

Therefore, the lowest common multiple of 334,626,689,628,924 is 5224583255892.

LCM Formula to Find Lowest Common Multiple of 334,626,689,628,924

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.

334 x 626 x 689 x 628 x 924 = 83593332094272

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.

334 : 1, 2, 167, 334

626 : 1, 2, 313, 626

689 : 1, 13, 53, 689

628 : 1, 2, 4, 157, 314, 628

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,626,689,628,924, is 1.

Now, the common factors can be found like this.

334:2x 167

626:2x 313

689:13x 53

628:2x 2x 157

924:2x 2x 3x 7x 11

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 = 83593332094272/(1x16)

LCM = 83593332094272/16

LCM = 5224583255892

Thus, we can understand that the LCM of 334,626,689,628,924 is 5224583255892.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 626, 689, 628, 924

1. What is the LCM of 334, 626, 689, 628, 924?

Answer: LCM of 334, 626, 689, 628, 924 is 5224583255892.

2. How to calculate the LCM of 334, 626, 689, 628, 924?

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 334, 626, 689, 628, 924.

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}.