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LCM of 737, 605, 322, 446

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


Find the LCM of 737, 605, 322, 446 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 737, 605, 322, 446. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 737,605,322,446

Given numbers are 737,605,322,446

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

The LCM of 737,605,322,446 is 2910656210.

Find LCM of 737,605,322,446 with Prime Factorization


2 737, 605, 322, 446
11 737, 605, 161, 223
67, 55, 161, 223

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

2 x 11 x 67 x 55 x 161 x 223 = 2910656210

Therefore, the lowest common multiple of 737,605,322,446 is 2910656210.

LCM Formula to Find Lowest Common Multiple of 737,605,322,446

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.

737 x 605 x 322 x 446 = 64034436620

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.

737 : 1, 11, 67, 737

605 : 1, 5, 11, 55, 121, 605

322 : 1, 2, 7, 14, 23, 46, 161, 322

446 : 1, 2, 223, 446

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,605,322,446, is 1.

Now, the common factors can be found like this.

737:11x 67

605:5x 11x 11

322:2x 7x 23

446:2x 223

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 = 64034436620/(1x22)

LCM = 64034436620/22

LCM = 2910656210

Thus, we can understand that the LCM of 737,605,322,446 is 2910656210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 737, 605, 322, 446

1. What is the LCM of 737, 605, 322, 446?

Answer: LCM of 737, 605, 322, 446 is 2910656210.

2. How to calculate the LCM of 737, 605, 322, 446?

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 737, 605, 322, 446.

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}.