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LCM of 208, 536, 936, 629

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


Find the LCM of 208, 536, 936, 629 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 208, 536, 936, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,536,936,629

Given numbers are 208,536,936,629

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

The LCM of 208,536,936,629 is 78891696.

Find LCM of 208,536,936,629 with Prime Factorization


2 208, 536, 936, 629
2 104, 268, 468, 629
2 52, 134, 234, 629
13 26, 67, 117, 629
2, 67, 9, 629

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

2 x 2 x 2 x 13 x 2 x 67 x 9 x 629 = 78891696

Therefore, the lowest common multiple of 208,536,936,629 is 78891696.

LCM Formula to Find Lowest Common Multiple of 208,536,936,629

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.

208 x 536 x 936 x 629 = 65637891072

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

536 : 1, 2, 4, 8, 67, 134, 268, 536

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,536,936,629, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

536:2x 2x 2x 67

936:2x 2x 2x 3x 3x 13

629:17x 37

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 2x 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 65637891072/(1x832)

LCM = 65637891072/832

LCM = 78891696

Thus, we can understand that the LCM of 208,536,936,629 is 78891696.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 536, 936, 629

1. What is the LCM of 208, 536, 936, 629?

Answer: LCM of 208, 536, 936, 629 is 78891696.

2. How to calculate the LCM of 208, 536, 936, 629?

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 208, 536, 936, 629.

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}.