LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 422, 250, 440, 840, 802

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


Find the LCM of 422, 250, 440, 840, 802 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 422, 250, 440, 840, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,250,440,840,802

Given numbers are 422,250,440,840,802

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

The LCM of 422,250,440,840,802 is 19545141000.

Find LCM of 422,250,440,840,802 with Prime Factorization


2 422, 250, 440, 840, 802
2 211, 125, 220, 420, 401
2 211, 125, 110, 210, 401
5 211, 125, 55, 105, 401
211, 25, 11, 21, 401

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

2 x 2 x 2 x 5 x 211 x 25 x 11 x 21 x 401 = 19545141000

Therefore, the lowest common multiple of 422,250,440,840,802 is 19545141000.

LCM Formula to Find Lowest Common Multiple of 422,250,440,840,802

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.

422 x 250 x 440 x 840 x 802 = 31272225600000

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.

422 : 1, 2, 211, 422

250 : 1, 2, 5, 10, 25, 50, 125, 250

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

802 : 1, 2, 401, 802

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,250,440,840,802, is 2.

Now, the common factors can be found like this.

422:2x 211

250:2x 5x 5x 5

440:2x 2x 2x 5x 11

840:2x 2x 2x 3x 5x 7

802:2x 401

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 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 31272225600000/(2x800)

LCM = 31272225600000/1600

LCM = 19545141000

Thus, we can understand that the LCM of 422,250,440,840,802 is 19545141000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 250, 440, 840, 802

1. What is the LCM of 422, 250, 440, 840, 802?

Answer: LCM of 422, 250, 440, 840, 802 is 19545141000.

2. How to calculate the LCM of 422, 250, 440, 840, 802?

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 422, 250, 440, 840, 802.

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}.