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LCM of 668, 774, 733, 101

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


Find the LCM of 668, 774, 733, 101 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 668, 774, 733, 101. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,774,733,101

Given numbers are 668,774,733,101

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

The LCM of 668,774,733,101 is 19138715028.

Find LCM of 668,774,733,101 with Prime Factorization


2 668, 774, 733, 101
334, 387, 733, 101

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

2 x 334 x 387 x 733 x 101 = 19138715028

Therefore, the lowest common multiple of 668,774,733,101 is 19138715028.

LCM Formula to Find Lowest Common Multiple of 668,774,733,101

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.

668 x 774 x 733 x 101 = 38277430056

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.

668 : 1, 2, 4, 167, 334, 668

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

733 : 1, 733

101 : 1, 101

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,774,733,101, is 1.

Now, the common factors can be found like this.

668:2x 2x 167

774:2x 3x 3x 43

733:733

101:101

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 = 38277430056/(1x2)

LCM = 38277430056/2

LCM = 19138715028

Thus, we can understand that the LCM of 668,774,733,101 is 19138715028.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 774, 733, 101

1. What is the LCM of 668, 774, 733, 101?

Answer: LCM of 668, 774, 733, 101 is 19138715028.

2. How to calculate the LCM of 668, 774, 733, 101?

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 668, 774, 733, 101.

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}.