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LCM of 210, 407, 374, 890, 410

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


Find the LCM of 210, 407, 374, 890, 410 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, 407, 374, 890, 410. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 210,407,374,890,410

Given numbers are 210,407,374,890,410

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

The LCM of 210,407,374,890,410 is 5301960510.

Find LCM of 210,407,374,890,410 with Prime Factorization


2 210, 407, 374, 890, 410
5 105, 407, 187, 445, 205
11 21, 407, 187, 89, 41
21, 37, 17, 89, 41

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

2 x 5 x 11 x 21 x 37 x 17 x 89 x 41 = 5301960510

Therefore, the lowest common multiple of 210,407,374,890,410 is 5301960510.

LCM Formula to Find Lowest Common Multiple of 210,407,374,890,410

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 407 x 374 x 890 x 410 = 11664313122000

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

407 : 1, 11, 37, 407

374 : 1, 2, 11, 17, 22, 34, 187, 374

890 : 1, 2, 5, 10, 89, 178, 445, 890

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,407,374,890,410, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

407:11x 37

374:2x 11x 17

890:2x 5x 89

410:2x 5x 41

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 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 11664313122000/(1x2200)

LCM = 11664313122000/2200

LCM = 5301960510

Thus, we can understand that the LCM of 210,407,374,890,410 is 5301960510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 210, 407, 374, 890, 410

1. What is the LCM of 210, 407, 374, 890, 410?

Answer: LCM of 210, 407, 374, 890, 410 is 5301960510.

2. How to calculate the LCM of 210, 407, 374, 890, 410?

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, 407, 374, 890, 410.

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}.