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LCM of 210, 468, 416, 219

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


Find the LCM of 210, 468, 416, 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 210, 468, 416, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 210,468,416,219

Given numbers are 210,468,416,219

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

The LCM of 210,468,416,219 is 9565920.

Find LCM of 210,468,416,219 with Prime Factorization


2 210, 468, 416, 219
2 105, 234, 208, 219
3 105, 117, 104, 219
13 35, 39, 104, 73
35, 3, 8, 73

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

2 x 2 x 3 x 13 x 35 x 3 x 8 x 73 = 9565920

Therefore, the lowest common multiple of 210,468,416,219 is 9565920.

LCM Formula to Find Lowest Common Multiple of 210,468,416,219

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.

210 x 468 x 416 x 219 = 8953701120

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.

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,468,416,219, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

468:2x 2x 3x 3x 13

416:2x 2x 2x 2x 2x 13

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 2x 2x 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 8953701120/(1x936)

LCM = 8953701120/936

LCM = 9565920

Thus, we can understand that the LCM of 210,468,416,219 is 9565920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 210, 468, 416, 219

1. What is the LCM of 210, 468, 416, 219?

Answer: LCM of 210, 468, 416, 219 is 9565920.

2. How to calculate the LCM of 210, 468, 416, 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 210, 468, 416, 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}.