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LCM of 116, 872, 299, 767

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


Find the LCM of 116, 872, 299, 767 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 116, 872, 299, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,872,299,767

Given numbers are 116,872,299,767

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

The LCM of 116,872,299,767 is 446105608.

Find LCM of 116,872,299,767 with Prime Factorization


2 116, 872, 299, 767
2 58, 436, 299, 767
13 29, 218, 299, 767
29, 218, 23, 59

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

2 x 2 x 13 x 29 x 218 x 23 x 59 = 446105608

Therefore, the lowest common multiple of 116,872,299,767 is 446105608.

LCM Formula to Find Lowest Common Multiple of 116,872,299,767

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.

116 x 872 x 299 x 767 = 23197491616

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.

116 : 1, 2, 4, 29, 58, 116

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

299 : 1, 13, 23, 299

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,872,299,767, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

872:2x 2x 2x 109

299:13x 23

767:13x 59

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 13 = 52

Therefore, the value for common factors is 52.

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 = 23197491616/(1x52)

LCM = 23197491616/52

LCM = 446105608

Thus, we can understand that the LCM of 116,872,299,767 is 446105608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 872, 299, 767

1. What is the LCM of 116, 872, 299, 767?

Answer: LCM of 116, 872, 299, 767 is 446105608.

2. How to calculate the LCM of 116, 872, 299, 767?

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 116, 872, 299, 767.

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}.