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LCM of 420, 595, 218, 207

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


Find the LCM of 420, 595, 218, 207 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 420, 595, 218, 207. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 420,595,218,207

Given numbers are 420,595,218,207

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

The LCM of 420,595,218,207 is 53699940.

Find LCM of 420,595,218,207 with Prime Factorization


2 420, 595, 218, 207
3 210, 595, 109, 207
5 70, 595, 109, 69
7 14, 119, 109, 69
2, 17, 109, 69

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

2 x 3 x 5 x 7 x 2 x 17 x 109 x 69 = 53699940

Therefore, the lowest common multiple of 420,595,218,207 is 53699940.

LCM Formula to Find Lowest Common Multiple of 420,595,218,207

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.

420 x 595 x 218 x 207 = 11276987400

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

595 : 1, 5, 7, 17, 35, 85, 119, 595

218 : 1, 2, 109, 218

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,595,218,207, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

595:5x 7x 17

218:2x 109

207:3x 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 3x 5x 7 = 210

Therefore, the value for common factors is 210.

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 = 11276987400/(1x210)

LCM = 11276987400/210

LCM = 53699940

Thus, we can understand that the LCM of 420,595,218,207 is 53699940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 420, 595, 218, 207

1. What is the LCM of 420, 595, 218, 207?

Answer: LCM of 420, 595, 218, 207 is 53699940.

2. How to calculate the LCM of 420, 595, 218, 207?

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 420, 595, 218, 207.

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}.