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LCM of 148, 712, 181, 334, 797

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


Find the LCM of 148, 712, 181, 334, 797 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 148, 712, 181, 334, 797. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 148,712,181,334,797

Given numbers are 148,712,181,334,797

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

The LCM of 148,712,181,334,797 is 634651170136.

Find LCM of 148,712,181,334,797 with Prime Factorization


2 148, 712, 181, 334, 797
2 74, 356, 181, 167, 797
37, 178, 181, 167, 797

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

2 x 2 x 37 x 178 x 181 x 167 x 797 = 634651170136

Therefore, the lowest common multiple of 148,712,181,334,797 is 634651170136.

LCM Formula to Find Lowest Common Multiple of 148,712,181,334,797

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.

148 x 712 x 181 x 334 x 797 = 5077209361088

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.

148 : 1, 2, 4, 37, 74, 148

712 : 1, 2, 4, 8, 89, 178, 356, 712

181 : 1, 181

334 : 1, 2, 167, 334

797 : 1, 797

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,712,181,334,797, is 1.

Now, the common factors can be found like this.

148:2x 2x 37

712:2x 2x 2x 89

181:181

334:2x 167

797:797

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5077209361088/(1x8)

LCM = 5077209361088/8

LCM = 634651170136

Thus, we can understand that the LCM of 148,712,181,334,797 is 634651170136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 148, 712, 181, 334, 797

1. What is the LCM of 148, 712, 181, 334, 797?

Answer: LCM of 148, 712, 181, 334, 797 is 634651170136.

2. How to calculate the LCM of 148, 712, 181, 334, 797?

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 148, 712, 181, 334, 797.

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}.