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LCM of 798, 526, 229, 151

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


Find the LCM of 798, 526, 229, 151 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 798, 526, 229, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,526,229,151

Given numbers are 798,526,229,151

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

The LCM of 798,526,229,151 is 7257233046.

Find LCM of 798,526,229,151 with Prime Factorization


2 798, 526, 229, 151
399, 263, 229, 151

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

2 x 399 x 263 x 229 x 151 = 7257233046

Therefore, the lowest common multiple of 798,526,229,151 is 7257233046.

LCM Formula to Find Lowest Common Multiple of 798,526,229,151

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.

798 x 526 x 229 x 151 = 14514466092

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

526 : 1, 2, 263, 526

229 : 1, 229

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,526,229,151, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

526:2x 263

229:229

151:151

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14514466092/(1x2)

LCM = 14514466092/2

LCM = 7257233046

Thus, we can understand that the LCM of 798,526,229,151 is 7257233046.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 526, 229, 151

1. What is the LCM of 798, 526, 229, 151?

Answer: LCM of 798, 526, 229, 151 is 7257233046.

2. How to calculate the LCM of 798, 526, 229, 151?

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 798, 526, 229, 151.

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}.