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LCM of 637, 761, 469, 901, 187

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


Find the LCM of 637, 761, 469, 901, 187 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 637, 761, 469, 901, 187. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 637,761,469,901,187

Given numbers are 637,761,469,901,187

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

The LCM of 637,761,469,901,187 is 321896584009.

Find LCM of 637,761,469,901,187 with Prime Factorization


7 637, 761, 469, 901, 187
17 91, 761, 67, 901, 187
91, 761, 67, 53, 11

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

7 x 17 x 91 x 761 x 67 x 53 x 11 = 321896584009

Therefore, the lowest common multiple of 637,761,469,901,187 is 321896584009.

LCM Formula to Find Lowest Common Multiple of 637,761,469,901,187

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.

637 x 761 x 469 x 901 x 187 = 38305693497071

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.

637 : 1, 7, 13, 49, 91, 637

761 : 1, 761

469 : 1, 7, 67, 469

901 : 1, 17, 53, 901

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,761,469,901,187, is 1.

Now, the common factors can be found like this.

637:7x 7x 13

761:761

469:7x 67

901:17x 53

187:11x 17

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

7x 17 = 119

Therefore, the value for common factors is 119.

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 = 38305693497071/(1x119)

LCM = 38305693497071/119

LCM = 321896584009

Thus, we can understand that the LCM of 637,761,469,901,187 is 321896584009.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 637, 761, 469, 901, 187

1. What is the LCM of 637, 761, 469, 901, 187?

Answer: LCM of 637, 761, 469, 901, 187 is 321896584009.

2. How to calculate the LCM of 637, 761, 469, 901, 187?

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 637, 761, 469, 901, 187.

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}.