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LCM of 208, 506, 847, 167

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


Find the LCM of 208, 506, 847, 167 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, 506, 847, 167. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,506,847,167

Given numbers are 208,506,847,167

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

The LCM of 208,506,847,167 is 676692016.

Find LCM of 208,506,847,167 with Prime Factorization


2 208, 506, 847, 167
11 104, 253, 847, 167
104, 23, 77, 167

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

2 x 11 x 104 x 23 x 77 x 167 = 676692016

Therefore, the lowest common multiple of 208,506,847,167 is 676692016.

LCM Formula to Find Lowest Common Multiple of 208,506,847,167

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 506 x 847 x 167 = 14887224352

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

847 : 1, 7, 11, 77, 121, 847

167 : 1, 167

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,506,847,167, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

506:2x 11x 23

847:7x 11x 11

167:167

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 14887224352/(1x22)

LCM = 14887224352/22

LCM = 676692016

Thus, we can understand that the LCM of 208,506,847,167 is 676692016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 506, 847, 167

1. What is the LCM of 208, 506, 847, 167?

Answer: LCM of 208, 506, 847, 167 is 676692016.

2. How to calculate the LCM of 208, 506, 847, 167?

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, 506, 847, 167.

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}.