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LCM of 143, 688, 644, 221, 938

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


Find the LCM of 143, 688, 644, 221, 938 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 143, 688, 644, 221, 938. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 143,688,644,221,938

Given numbers are 143,688,644,221,938

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

The LCM of 143,688,644,221,938 is 18041559536.

Find LCM of 143,688,644,221,938 with Prime Factorization


2 143, 688, 644, 221, 938
2 143, 344, 322, 221, 469
7 143, 172, 161, 221, 469
13 143, 172, 23, 221, 67
11, 172, 23, 17, 67

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

2 x 2 x 7 x 13 x 11 x 172 x 23 x 17 x 67 = 18041559536

Therefore, the lowest common multiple of 143,688,644,221,938 is 18041559536.

LCM Formula to Find Lowest Common Multiple of 143,688,644,221,938

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.

143 x 688 x 644 x 221 x 938 = 13134255342208

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.

143 : 1, 11, 13, 143

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

221 : 1, 13, 17, 221

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 143,688,644,221,938, is 1.

Now, the common factors can be found like this.

143:11x 13

688:2x 2x 2x 2x 43

644:2x 2x 7x 23

221:13x 17

938:2x 7x 67

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 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 13134255342208/(1x728)

LCM = 13134255342208/728

LCM = 18041559536

Thus, we can understand that the LCM of 143,688,644,221,938 is 18041559536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 143, 688, 644, 221, 938

1. What is the LCM of 143, 688, 644, 221, 938?

Answer: LCM of 143, 688, 644, 221, 938 is 18041559536.

2. How to calculate the LCM of 143, 688, 644, 221, 938?

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 143, 688, 644, 221, 938.

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}.