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LCM of 206, 110, 190, 551, 672

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


Find the LCM of 206, 110, 190, 551, 672 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 206, 110, 190, 551, 672. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 206,110,190,551,672

Given numbers are 206,110,190,551,672

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

The LCM of 206,110,190,551,672 is 2097590880.

Find LCM of 206,110,190,551,672 with Prime Factorization


2 206, 110, 190, 551, 672
5 103, 55, 95, 551, 336
19 103, 11, 19, 551, 336
103, 11, 1, 29, 336

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

2 x 5 x 19 x 103 x 11 x 1 x 29 x 336 = 2097590880

Therefore, the lowest common multiple of 206,110,190,551,672 is 2097590880.

LCM Formula to Find Lowest Common Multiple of 206,110,190,551,672

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.

206 x 110 x 190 x 551 x 672 = 1594169068800

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.

206 : 1, 2, 103, 206

110 : 1, 2, 5, 10, 11, 22, 55, 110

190 : 1, 2, 5, 10, 19, 38, 95, 190

551 : 1, 19, 29, 551

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,110,190,551,672, is 1.

Now, the common factors can be found like this.

206:2x 103

110:2x 5x 11

190:2x 5x 19

551:19x 29

672:2x 2x 2x 2x 2x 3x 7

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 5x 19 = 760

Therefore, the value for common factors is 760.

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 = 1594169068800/(1x760)

LCM = 1594169068800/760

LCM = 2097590880

Thus, we can understand that the LCM of 206,110,190,551,672 is 2097590880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 206, 110, 190, 551, 672

1. What is the LCM of 206, 110, 190, 551, 672?

Answer: LCM of 206, 110, 190, 551, 672 is 2097590880.

2. How to calculate the LCM of 206, 110, 190, 551, 672?

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 206, 110, 190, 551, 672.

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}.