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LCM of 741, 869, 297, 442

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


Find the LCM of 741, 869, 297, 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 741, 869, 297, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 741,869,297,442

Given numbers are 741,869,297,442

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

The LCM of 741,869,297,442 is 197042274.

Find LCM of 741,869,297,442 with Prime Factorization


3 741, 869, 297, 442
11 247, 869, 99, 442
13 247, 79, 9, 442
19, 79, 9, 34

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

3 x 11 x 13 x 19 x 79 x 9 x 34 = 197042274

Therefore, the lowest common multiple of 741,869,297,442 is 197042274.

LCM Formula to Find Lowest Common Multiple of 741,869,297,442

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.

741 x 869 x 297 x 442 = 84531135546

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.

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

869 : 1, 11, 79, 869

297 : 1, 3, 9, 11, 27, 33, 99, 297

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 741,869,297,442, is 1.

Now, the common factors can be found like this.

741:3x 13x 19

869:11x 79

297:3x 3x 3x 11

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.

3x 11x 13 = 429

Therefore, the value for common factors is 429.

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 = 84531135546/(1x429)

LCM = 84531135546/429

LCM = 197042274

Thus, we can understand that the LCM of 741,869,297,442 is 197042274.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 741, 869, 297, 442

1. What is the LCM of 741, 869, 297, 442?

Answer: LCM of 741, 869, 297, 442 is 197042274.

2. How to calculate the LCM of 741, 869, 297, 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 741, 869, 297, 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}.