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LCM of 354, 590, 107, 832

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


Find the LCM of 354, 590, 107, 832 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 354, 590, 107, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 354,590,107,832

Given numbers are 354,590,107,832

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

The LCM of 354,590,107,832 is 78786240.

Find LCM of 354,590,107,832 with Prime Factorization


2 354, 590, 107, 832
59 177, 295, 107, 416
3, 5, 107, 416

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

2 x 59 x 3 x 5 x 107 x 416 = 78786240

Therefore, the lowest common multiple of 354,590,107,832 is 78786240.

LCM Formula to Find Lowest Common Multiple of 354,590,107,832

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.

354 x 590 x 107 x 832 = 18593552640

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

590 : 1, 2, 5, 10, 59, 118, 295, 590

107 : 1, 107

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,590,107,832, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

590:2x 5x 59

107:107

832:2x 2x 2x 2x 2x 2x 13

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 59 = 236

Therefore, the value for common factors is 236.

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 = 18593552640/(1x236)

LCM = 18593552640/236

LCM = 78786240

Thus, we can understand that the LCM of 354,590,107,832 is 78786240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 354, 590, 107, 832

1. What is the LCM of 354, 590, 107, 832?

Answer: LCM of 354, 590, 107, 832 is 78786240.

2. How to calculate the LCM of 354, 590, 107, 832?

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 354, 590, 107, 832.

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}.