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LCM of 561, 578, 163, 774

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


Find the LCM of 561, 578, 163, 774 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 561, 578, 163, 774. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,578,163,774

Given numbers are 561,578,163,774

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

The LCM of 561,578,163,774 is 401068998.

Find LCM of 561,578,163,774 with Prime Factorization


2 561, 578, 163, 774
3 561, 289, 163, 387
17 187, 289, 163, 129
11, 17, 163, 129

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

2 x 3 x 17 x 11 x 17 x 163 x 129 = 401068998

Therefore, the lowest common multiple of 561,578,163,774 is 401068998.

LCM Formula to Find Lowest Common Multiple of 561,578,163,774

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.

561 x 578 x 163 x 774 = 40909037796

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.

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

578 : 1, 2, 17, 34, 289, 578

163 : 1, 163

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,578,163,774, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

578:2x 17x 17

163:163

774:2x 3x 3x 43

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 17 = 102

Therefore, the value for common factors is 102.

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 = 40909037796/(1x102)

LCM = 40909037796/102

LCM = 401068998

Thus, we can understand that the LCM of 561,578,163,774 is 401068998.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 578, 163, 774

1. What is the LCM of 561, 578, 163, 774?

Answer: LCM of 561, 578, 163, 774 is 401068998.

2. How to calculate the LCM of 561, 578, 163, 774?

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 561, 578, 163, 774.

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}.