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LCM of 583, 934, 610, 318, 373

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


Find the LCM of 583, 934, 610, 318, 373 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 583, 934, 610, 318, 373. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,934,610,318,373

Given numbers are 583,934,610,318,373

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

The LCM of 583,934,610,318,373 is 185842635990.

Find LCM of 583,934,610,318,373 with Prime Factorization


2 583, 934, 610, 318, 373
53 583, 467, 305, 159, 373
11, 467, 305, 3, 373

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

2 x 53 x 11 x 467 x 305 x 3 x 373 = 185842635990

Therefore, the lowest common multiple of 583,934,610,318,373 is 185842635990.

LCM Formula to Find Lowest Common Multiple of 583,934,610,318,373

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.

583 x 934 x 610 x 318 x 373 = 39398638829880

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.

583 : 1, 11, 53, 583

934 : 1, 2, 467, 934

610 : 1, 2, 5, 10, 61, 122, 305, 610

318 : 1, 2, 3, 6, 53, 106, 159, 318

373 : 1, 373

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,934,610,318,373, is 1.

Now, the common factors can be found like this.

583:11x 53

934:2x 467

610:2x 5x 61

318:2x 3x 53

373:373

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 53 = 212

Therefore, the value for common factors is 212.

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 = 39398638829880/(1x212)

LCM = 39398638829880/212

LCM = 185842635990

Thus, we can understand that the LCM of 583,934,610,318,373 is 185842635990.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 934, 610, 318, 373

1. What is the LCM of 583, 934, 610, 318, 373?

Answer: LCM of 583, 934, 610, 318, 373 is 185842635990.

2. How to calculate the LCM of 583, 934, 610, 318, 373?

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 583, 934, 610, 318, 373.

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}.