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LCM of 442, 679, 545, 783, 904

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


Find the LCM of 442, 679, 545, 783, 904 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 442, 679, 545, 783, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 442,679,545,783,904

Given numbers are 442,679,545,783,904

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

The LCM of 442,679,545,783,904 is 57888026337960.

Find LCM of 442,679,545,783,904 with Prime Factorization


2 442, 679, 545, 783, 904
221, 679, 545, 783, 452

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

2 x 221 x 679 x 545 x 783 x 452 = 57888026337960

Therefore, the lowest common multiple of 442,679,545,783,904 is 57888026337960.

LCM Formula to Find Lowest Common Multiple of 442,679,545,783,904

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.

442 x 679 x 545 x 783 x 904 = 115776052675920

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.

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

679 : 1, 7, 97, 679

545 : 1, 5, 109, 545

783 : 1, 3, 9, 27, 29, 87, 261, 783

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,679,545,783,904, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

679:7x 97

545:5x 109

783:3x 3x 3x 29

904:2x 2x 2x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 115776052675920/(1x2)

LCM = 115776052675920/2

LCM = 57888026337960

Thus, we can understand that the LCM of 442,679,545,783,904 is 57888026337960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 442, 679, 545, 783, 904

1. What is the LCM of 442, 679, 545, 783, 904?

Answer: LCM of 442, 679, 545, 783, 904 is 57888026337960.

2. How to calculate the LCM of 442, 679, 545, 783, 904?

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 442, 679, 545, 783, 904.

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}.