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LCM of 437, 165, 661, 897, 651

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


Find the LCM of 437, 165, 661, 897, 651 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 437, 165, 661, 897, 651. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,165,661,897,651

Given numbers are 437,165,661,897,651

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

The LCM of 437,165,661,897,651 is 134452823505.

Find LCM of 437,165,661,897,651 with Prime Factorization


3 437, 165, 661, 897, 651
23 437, 55, 661, 299, 217
19, 55, 661, 13, 217

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

3 x 23 x 19 x 55 x 661 x 13 x 217 = 134452823505

Therefore, the lowest common multiple of 437,165,661,897,651 is 134452823505.

LCM Formula to Find Lowest Common Multiple of 437,165,661,897,651

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.

437 x 165 x 661 x 897 x 651 = 27831734465535

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.

437 : 1, 19, 23, 437

165 : 1, 3, 5, 11, 15, 33, 55, 165

661 : 1, 661

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

651 : 1, 3, 7, 21, 31, 93, 217, 651

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,165,661,897,651, is 1.

Now, the common factors can be found like this.

437:19x 23

165:3x 5x 11

661:661

897:3x 13x 23

651:3x 7x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 27831734465535/(1x207)

LCM = 27831734465535/207

LCM = 134452823505

Thus, we can understand that the LCM of 437,165,661,897,651 is 134452823505.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 165, 661, 897, 651

1. What is the LCM of 437, 165, 661, 897, 651?

Answer: LCM of 437, 165, 661, 897, 651 is 134452823505.

2. How to calculate the LCM of 437, 165, 661, 897, 651?

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 437, 165, 661, 897, 651.

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}.