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LCM of 207, 690, 824, 219

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


Find the LCM of 207, 690, 824, 219 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 207, 690, 824, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 207,690,824,219

Given numbers are 207,690,824,219

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

The LCM of 207,690,824,219 is 62257320.

Find LCM of 207,690,824,219 with Prime Factorization


2 207, 690, 824, 219
3 207, 345, 412, 219
23 69, 115, 412, 73
3, 5, 412, 73

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

2 x 3 x 23 x 3 x 5 x 412 x 73 = 62257320

Therefore, the lowest common multiple of 207,690,824,219 is 62257320.

LCM Formula to Find Lowest Common Multiple of 207,690,824,219

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.

207 x 690 x 824 x 219 = 25774530480

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.

207 : 1, 3, 9, 23, 69, 207

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

824 : 1, 2, 4, 8, 103, 206, 412, 824

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 207,690,824,219, is 1.

Now, the common factors can be found like this.

207:3x 3x 23

690:2x 3x 5x 23

824:2x 2x 2x 103

219:3x 73

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 3x 23 = 414

Therefore, the value for common factors is 414.

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 = 25774530480/(1x414)

LCM = 25774530480/414

LCM = 62257320

Thus, we can understand that the LCM of 207,690,824,219 is 62257320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 207, 690, 824, 219

1. What is the LCM of 207, 690, 824, 219?

Answer: LCM of 207, 690, 824, 219 is 62257320.

2. How to calculate the LCM of 207, 690, 824, 219?

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 207, 690, 824, 219.

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}.