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LCM of 229, 418, 210, 213, 750

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


Find the LCM of 229, 418, 210, 213, 750 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 229, 418, 210, 213, 750. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 229,418,210,213,750

Given numbers are 229,418,210,213,750

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

The LCM of 229,418,210,213,750 is 17840187750.

Find LCM of 229,418,210,213,750 with Prime Factorization


2 229, 418, 210, 213, 750
3 229, 209, 105, 213, 375
5 229, 209, 35, 71, 125
229, 209, 7, 71, 25

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

2 x 3 x 5 x 229 x 209 x 7 x 71 x 25 = 17840187750

Therefore, the lowest common multiple of 229,418,210,213,750 is 17840187750.

LCM Formula to Find Lowest Common Multiple of 229,418,210,213,750

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.

229 x 418 x 210 x 213 x 750 = 3211233795000

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.

229 : 1, 229

418 : 1, 2, 11, 19, 22, 38, 209, 418

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

213 : 1, 3, 71, 213

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,418,210,213,750, is 1.

Now, the common factors can be found like this.

229:229

418:2x 11x 19

210:2x 3x 5x 7

213:3x 71

750:2x 3x 5x 5x 5

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 3211233795000/(1x180)

LCM = 3211233795000/180

LCM = 17840187750

Thus, we can understand that the LCM of 229,418,210,213,750 is 17840187750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 229, 418, 210, 213, 750

1. What is the LCM of 229, 418, 210, 213, 750?

Answer: LCM of 229, 418, 210, 213, 750 is 17840187750.

2. How to calculate the LCM of 229, 418, 210, 213, 750?

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 229, 418, 210, 213, 750.

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}.