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LCM of 437, 786, 741, 442

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


Find the LCM of 437, 786, 741, 442 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 437, 786, 741, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,786,741,442

Given numbers are 437,786,741,442

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

The LCM of 437,786,741,442 is 75909522.

Find LCM of 437,786,741,442 with Prime Factorization


2 437, 786, 741, 442
3 437, 393, 741, 221
13 437, 131, 247, 221
19 437, 131, 19, 17
23, 131, 1, 17

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

2 x 3 x 13 x 19 x 23 x 131 x 1 x 17 = 75909522

Therefore, the lowest common multiple of 437,786,741,442 is 75909522.

LCM Formula to Find Lowest Common Multiple of 437,786,741,442

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.

437 x 786 x 741 x 442 = 112497911604

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.

437 : 1, 19, 23, 437

786 : 1, 2, 3, 6, 131, 262, 393, 786

741 : 1, 3, 13, 19, 39, 57, 247, 741

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,786,741,442, is 1.

Now, the common factors can be found like this.

437:19x 23

786:2x 3x 131

741:3x 13x 19

442:2x 13x 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 3x 13x 19 = 1482

Therefore, the value for common factors is 1482.

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 = 112497911604/(1x1482)

LCM = 112497911604/1482

LCM = 75909522

Thus, we can understand that the LCM of 437,786,741,442 is 75909522.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 786, 741, 442

1. What is the LCM of 437, 786, 741, 442?

Answer: LCM of 437, 786, 741, 442 is 75909522.

2. How to calculate the LCM of 437, 786, 741, 442?

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 437, 786, 741, 442.

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}.