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LCM of 697, 210, 969, 830

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


Find the LCM of 697, 210, 969, 830 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 697, 210, 969, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 697,210,969,830

Given numbers are 697,210,969,830

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

The LCM of 697,210,969,830 is 230825490.

Find LCM of 697,210,969,830 with Prime Factorization


2 697, 210, 969, 830
3 697, 105, 969, 415
5 697, 35, 323, 415
17 697, 7, 323, 83
41, 7, 19, 83

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

2 x 3 x 5 x 17 x 41 x 7 x 19 x 83 = 230825490

Therefore, the lowest common multiple of 697,210,969,830 is 230825490.

LCM Formula to Find Lowest Common Multiple of 697,210,969,830

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.

697 x 210 x 969 x 830 = 117720999900

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.

697 : 1, 17, 41, 697

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,210,969,830, is 1.

Now, the common factors can be found like this.

697:17x 41

210:2x 3x 5x 7

969:3x 17x 19

830:2x 5x 83

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 17 = 510

Therefore, the value for common factors is 510.

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 = 117720999900/(1x510)

LCM = 117720999900/510

LCM = 230825490

Thus, we can understand that the LCM of 697,210,969,830 is 230825490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 697, 210, 969, 830

1. What is the LCM of 697, 210, 969, 830?

Answer: LCM of 697, 210, 969, 830 is 230825490.

2. How to calculate the LCM of 697, 210, 969, 830?

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 697, 210, 969, 830.

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}.