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LCM of 702, 232, 403, 122, 897

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


Find the LCM of 702, 232, 403, 122, 897 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 702, 232, 403, 122, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,232,403,122,897

Given numbers are 702,232,403,122,897

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

The LCM of 702,232,403,122,897 is 3541721976.

Find LCM of 702,232,403,122,897 with Prime Factorization


2 702, 232, 403, 122, 897
3 351, 116, 403, 61, 897
13 117, 116, 403, 61, 299
9, 116, 31, 61, 23

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

2 x 3 x 13 x 9 x 116 x 31 x 61 x 23 = 3541721976

Therefore, the lowest common multiple of 702,232,403,122,897 is 3541721976.

LCM Formula to Find Lowest Common Multiple of 702,232,403,122,897

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.

702 x 232 x 403 x 122 x 897 = 7182612167328

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

232 : 1, 2, 4, 8, 29, 58, 116, 232

403 : 1, 13, 31, 403

122 : 1, 2, 61, 122

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,232,403,122,897, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

232:2x 2x 2x 29

403:13x 31

122:2x 61

897:3x 13x 23

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 13x 13 = 2028

Therefore, the value for common factors is 2028.

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 = 7182612167328/(1x2028)

LCM = 7182612167328/2028

LCM = 3541721976

Thus, we can understand that the LCM of 702,232,403,122,897 is 3541721976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 232, 403, 122, 897

1. What is the LCM of 702, 232, 403, 122, 897?

Answer: LCM of 702, 232, 403, 122, 897 is 3541721976.

2. How to calculate the LCM of 702, 232, 403, 122, 897?

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 702, 232, 403, 122, 897.

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}.