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LCM of 599, 746, 712, 374

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


Find the LCM of 599, 746, 712, 374 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 599, 746, 712, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 599,746,712,374

Given numbers are 599,746,712,374

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

The LCM of 599,746,712,374 is 29747964488.

Find LCM of 599,746,712,374 with Prime Factorization


2 599, 746, 712, 374
599, 373, 356, 187

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

2 x 599 x 373 x 356 x 187 = 29747964488

Therefore, the lowest common multiple of 599,746,712,374 is 29747964488.

LCM Formula to Find Lowest Common Multiple of 599,746,712,374

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.

599 x 746 x 712 x 374 = 118991857952

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.

599 : 1, 599

746 : 1, 2, 373, 746

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,746,712,374, is 1.

Now, the common factors can be found like this.

599:599

746:2x 373

712:2x 2x 2x 89

374:2x 11x 17

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 118991857952/(1x4)

LCM = 118991857952/4

LCM = 29747964488

Thus, we can understand that the LCM of 599,746,712,374 is 29747964488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 599, 746, 712, 374

1. What is the LCM of 599, 746, 712, 374?

Answer: LCM of 599, 746, 712, 374 is 29747964488.

2. How to calculate the LCM of 599, 746, 712, 374?

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 599, 746, 712, 374.

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}.