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 192, 864, 264, 251, 100

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


Find the LCM of 192, 864, 264, 251, 100 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 192, 864, 264, 251, 100. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 192,864,264,251,100

Given numbers are 192,864,264,251,100

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

The LCM of 192,864,264,251,100 is 119275200.

Find LCM of 192,864,264,251,100 with Prime Factorization


2 192, 864, 264, 251, 100
2 96, 432, 132, 251, 50
2 48, 216, 66, 251, 25
2 24, 108, 33, 251, 25
2 12, 54, 33, 251, 25
3 6, 27, 33, 251, 25
2, 9, 11, 251, 25

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

2 x 2 x 2 x 2 x 2 x 3 x 2 x 9 x 11 x 251 x 25 = 119275200

Therefore, the lowest common multiple of 192,864,264,251,100 is 119275200.

LCM Formula to Find Lowest Common Multiple of 192,864,264,251,100

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.

192 x 864 x 264 x 251 x 100 = 1099240243200

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.

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

251 : 1, 251

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,864,264,251,100, is 1.

Now, the common factors can be found like this.

192:2x 2x 2x 2x 2x 2x 3

864:2x 2x 2x 2x 2x 3x 3x 3

264:2x 2x 2x 3x 11

251:251

100:2x 2x 5x 5

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 2x 2x 2x 2x 2x 3x 3 = 9216

Therefore, the value for common factors is 9216.

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 = 1099240243200/(1x9216)

LCM = 1099240243200/9216

LCM = 119275200

Thus, we can understand that the LCM of 192,864,264,251,100 is 119275200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 192, 864, 264, 251, 100

1. What is the LCM of 192, 864, 264, 251, 100?

Answer: LCM of 192, 864, 264, 251, 100 is 119275200.

2. How to calculate the LCM of 192, 864, 264, 251, 100?

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 192, 864, 264, 251, 100.

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}.