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LCM of 535, 514, 627, 850

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


Find the LCM of 535, 514, 627, 850 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 535, 514, 627, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,514,627,850

Given numbers are 535,514,627,850

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

The LCM of 535,514,627,850 is 14655592050.

Find LCM of 535,514,627,850 with Prime Factorization


2 535, 514, 627, 850
5 535, 257, 627, 425
107, 257, 627, 85

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

2 x 5 x 107 x 257 x 627 x 85 = 14655592050

Therefore, the lowest common multiple of 535,514,627,850 is 14655592050.

LCM Formula to Find Lowest Common Multiple of 535,514,627,850

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.

535 x 514 x 627 x 850 = 146555920500

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.

535 : 1, 5, 107, 535

514 : 1, 2, 257, 514

627 : 1, 3, 11, 19, 33, 57, 209, 627

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,514,627,850, is 1.

Now, the common factors can be found like this.

535:5x 107

514:2x 257

627:3x 11x 19

850:2x 5x 5x 17

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 146555920500/(1x10)

LCM = 146555920500/10

LCM = 14655592050

Thus, we can understand that the LCM of 535,514,627,850 is 14655592050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 514, 627, 850

1. What is the LCM of 535, 514, 627, 850?

Answer: LCM of 535, 514, 627, 850 is 14655592050.

2. How to calculate the LCM of 535, 514, 627, 850?

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 535, 514, 627, 850.

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}.