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LCM of 251, 218, 703, 872

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


Find the LCM of 251, 218, 703, 872 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 251, 218, 703, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,218,703,872

Given numbers are 251,218,703,872

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

The LCM of 251,218,703,872 is 153867016.

Find LCM of 251,218,703,872 with Prime Factorization


2 251, 218, 703, 872
109 251, 109, 703, 436
251, 1, 703, 4

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

2 x 109 x 251 x 1 x 703 x 4 = 153867016

Therefore, the lowest common multiple of 251,218,703,872 is 153867016.

LCM Formula to Find Lowest Common Multiple of 251,218,703,872

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.

251 x 218 x 703 x 872 = 33543009488

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.

251 : 1, 251

218 : 1, 2, 109, 218

703 : 1, 19, 37, 703

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,218,703,872, is 1.

Now, the common factors can be found like this.

251:251

218:2x 109

703:19x 37

872:2x 2x 2x 109

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

2x 109 = 218

Therefore, the value for common factors is 218.

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 = 33543009488/(1x218)

LCM = 33543009488/218

LCM = 153867016

Thus, we can understand that the LCM of 251,218,703,872 is 153867016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 218, 703, 872

1. What is the LCM of 251, 218, 703, 872?

Answer: LCM of 251, 218, 703, 872 is 153867016.

2. How to calculate the LCM of 251, 218, 703, 872?

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 251, 218, 703, 872.

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}.