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LCM of 901, 561, 742, 787

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


Find the LCM of 901, 561, 742, 787 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 901, 561, 742, 787. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,561,742,787

Given numbers are 901,561,742,787

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

The LCM of 901,561,742,787 is 327598194.

Find LCM of 901,561,742,787 with Prime Factorization


17 901, 561, 742, 787
53 53, 33, 742, 787
1, 33, 14, 787

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

17 x 53 x 1 x 33 x 14 x 787 = 327598194

Therefore, the lowest common multiple of 901,561,742,787 is 327598194.

LCM Formula to Find Lowest Common Multiple of 901,561,742,787

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.

901 x 561 x 742 x 787 = 295165972794

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.

901 : 1, 17, 53, 901

561 : 1, 3, 11, 17, 33, 51, 187, 561

742 : 1, 2, 7, 14, 53, 106, 371, 742

787 : 1, 787

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,561,742,787, is 1.

Now, the common factors can be found like this.

901:17x 53

561:3x 11x 17

742:2x 7x 53

787:787

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

17x 53 = 901

Therefore, the value for common factors is 901.

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 = 295165972794/(1x901)

LCM = 295165972794/901

LCM = 327598194

Thus, we can understand that the LCM of 901,561,742,787 is 327598194.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 561, 742, 787

1. What is the LCM of 901, 561, 742, 787?

Answer: LCM of 901, 561, 742, 787 is 327598194.

2. How to calculate the LCM of 901, 561, 742, 787?

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 901, 561, 742, 787.

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}.