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LCM of 751, 722, 618, 108

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


Find the LCM of 751, 722, 618, 108 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 751, 722, 618, 108. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,722,618,108

Given numbers are 751,722,618,108

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

The LCM of 751,722,618,108 is 3015838764.

Find LCM of 751,722,618,108 with Prime Factorization


2 751, 722, 618, 108
3 751, 361, 309, 54
751, 361, 103, 18

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

2 x 3 x 751 x 361 x 103 x 18 = 3015838764

Therefore, the lowest common multiple of 751,722,618,108 is 3015838764.

LCM Formula to Find Lowest Common Multiple of 751,722,618,108

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.

751 x 722 x 618 x 108 = 36190065168

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.

751 : 1, 751

722 : 1, 2, 19, 38, 361, 722

618 : 1, 2, 3, 6, 103, 206, 309, 618

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,722,618,108, is 1.

Now, the common factors can be found like this.

751:751

722:2x 19x 19

618:2x 3x 103

108:2x 2x 3x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 36190065168/(1x12)

LCM = 36190065168/12

LCM = 3015838764

Thus, we can understand that the LCM of 751,722,618,108 is 3015838764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 722, 618, 108

1. What is the LCM of 751, 722, 618, 108?

Answer: LCM of 751, 722, 618, 108 is 3015838764.

2. How to calculate the LCM of 751, 722, 618, 108?

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 751, 722, 618, 108.

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}.