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LCM of 374, 66, 746

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


Find the LCM of 374, 66, 746 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 374, 66, 746. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,66,746

Given numbers are 374,66,746

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

The LCM of 374,66,746 is 418506.

Find LCM of 374,66,746 with Prime Factorization


2 374, 66, 746
11 187, 33, 373
17, 3, 373

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

2 x 11 x 17 x 3 x 373 = 418506

Therefore, the lowest common multiple of 374,66,746 is 418506.

LCM Formula to Find Lowest Common Multiple of 374,66,746

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.

374 x 66 x 746 = 18414264

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.

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

66 : 1, 2, 3, 6, 11, 22, 33, 66

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,66,746, is 2.

Now, the common factors can be found like this.

374:2x 11x 17

66:2x 3x 11

746:2x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 18414264/(2x22)

LCM = 18414264/44

LCM = 418506

Thus, we can understand that the LCM of 374,66,746 is 418506.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 374, 66, 746

1. What is the LCM of 374, 66, 746?

Answer: LCM of 374, 66, 746 is 418506.

2. How to calculate the LCM of 374, 66, 746?

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 374, 66, 746.

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}.