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 994, 270, 880, 125, 202

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


Find the LCM of 994, 270, 880, 125, 202 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 994, 270, 880, 125, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,270,880,125,202

Given numbers are 994,270,880,125,202

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

The LCM of 994,270,880,125,202 is 29817018000.

Find LCM of 994,270,880,125,202 with Prime Factorization


2 994, 270, 880, 125, 202
5 497, 135, 440, 125, 101
497, 27, 88, 25, 101

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

2 x 5 x 497 x 27 x 88 x 25 x 101 = 29817018000

Therefore, the lowest common multiple of 994,270,880,125,202 is 29817018000.

LCM Formula to Find Lowest Common Multiple of 994,270,880,125,202

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.

994 x 270 x 880 x 125 x 202 = 5963403600000

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

125 : 1, 5, 25, 125

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,270,880,125,202, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

270:2x 3x 3x 3x 5

880:2x 2x 2x 2x 5x 11

125:5x 5x 5

202:2x 101

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 5963403600000/(1x200)

LCM = 5963403600000/200

LCM = 29817018000

Thus, we can understand that the LCM of 994,270,880,125,202 is 29817018000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 270, 880, 125, 202

1. What is the LCM of 994, 270, 880, 125, 202?

Answer: LCM of 994, 270, 880, 125, 202 is 29817018000.

2. How to calculate the LCM of 994, 270, 880, 125, 202?

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 994, 270, 880, 125, 202.

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}.