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LCM of 210, 730, 365, 654, 834

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


Find the LCM of 210, 730, 365, 654, 834 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, 730, 365, 654, 834. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 210,730,365,654,834

Given numbers are 210,730,365,654,834

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

The LCM of 210,730,365,654,834 is 232264830.

Find LCM of 210,730,365,654,834 with Prime Factorization


2 210, 730, 365, 654, 834
3 105, 365, 365, 327, 417
5 35, 365, 365, 109, 139
73 7, 73, 73, 109, 139
7, 1, 1, 109, 139

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

2 x 3 x 5 x 73 x 7 x 1 x 1 x 109 x 139 = 232264830

Therefore, the lowest common multiple of 210,730,365,654,834 is 232264830.

LCM Formula to Find Lowest Common Multiple of 210,730,365,654,834

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 730 x 365 x 654 x 834 = 30519598662000

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

730 : 1, 2, 5, 10, 73, 146, 365, 730

365 : 1, 5, 73, 365

654 : 1, 2, 3, 6, 109, 218, 327, 654

834 : 1, 2, 3, 6, 139, 278, 417, 834

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,730,365,654,834, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

730:2x 5x 73

365:5x 73

654:2x 3x 109

834:2x 3x 139

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 5x 5x 73 = 131400

Therefore, the value for common factors is 131400.

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 = 30519598662000/(1x131400)

LCM = 30519598662000/131400

LCM = 232264830

Thus, we can understand that the LCM of 210,730,365,654,834 is 232264830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 210, 730, 365, 654, 834

1. What is the LCM of 210, 730, 365, 654, 834?

Answer: LCM of 210, 730, 365, 654, 834 is 232264830.

2. How to calculate the LCM of 210, 730, 365, 654, 834?

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, 730, 365, 654, 834.

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}.