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LCM of 668, 978, 720, 128, 828

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


Find the LCM of 668, 978, 720, 128, 828 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, 978, 720, 128, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 668,978,720,128,828

Given numbers are 668,978,720,128,828

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

The LCM of 668,978,720,128,828 is 3606238080.

Find LCM of 668,978,720,128,828 with Prime Factorization


2 668, 978, 720, 128, 828
2 334, 489, 360, 64, 414
2 167, 489, 180, 32, 207
2 167, 489, 90, 16, 207
3 167, 489, 45, 8, 207
3 167, 163, 15, 8, 69
167, 163, 5, 8, 23

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

2 x 2 x 2 x 2 x 3 x 3 x 167 x 163 x 5 x 8 x 23 = 3606238080

Therefore, the lowest common multiple of 668,978,720,128,828 is 3606238080.

LCM Formula to Find Lowest Common Multiple of 668,978,720,128,828

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 978 x 720 x 128 x 828 = 49852635217920

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

128 : 1, 2, 4, 8, 16, 32, 64, 128

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,978,720,128,828, is 2.

Now, the common factors can be found like this.

668:2x 2x 167

978:2x 3x 163

720:2x 2x 2x 2x 3x 3x 5

128:2x 2x 2x 2x 2x 2x 2

828:2x 2x 3x 3x 23

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

2x 2x 2x 2x 2x 2x 2x 2x 3x 3x 3 = 6912

Therefore, the value for common factors is 6912.

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 = 49852635217920/(2x6912)

LCM = 49852635217920/13824

LCM = 3606238080

Thus, we can understand that the LCM of 668,978,720,128,828 is 3606238080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 668, 978, 720, 128, 828

1. What is the LCM of 668, 978, 720, 128, 828?

Answer: LCM of 668, 978, 720, 128, 828 is 3606238080.

2. How to calculate the LCM of 668, 978, 720, 128, 828?

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, 978, 720, 128, 828.

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}.