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LCM of 616, 163, 847, 217

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


Find the LCM of 616, 163, 847, 217 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 616, 163, 847, 217. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,163,847,217

Given numbers are 616,163,847,217

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

The LCM of 616,163,847,217 is 34239128.

Find LCM of 616,163,847,217 with Prime Factorization


7 616, 163, 847, 217
11 88, 163, 121, 31
8, 163, 11, 31

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

7 x 11 x 8 x 163 x 11 x 31 = 34239128

Therefore, the lowest common multiple of 616,163,847,217 is 34239128.

LCM Formula to Find Lowest Common Multiple of 616,163,847,217

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.

616 x 163 x 847 x 217 = 18454889992

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

163 : 1, 163

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

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,163,847,217, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

163:163

847:7x 11x 11

217:7x 31

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

7x 7x 11 = 539

Therefore, the value for common factors is 539.

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 = 18454889992/(1x539)

LCM = 18454889992/539

LCM = 34239128

Thus, we can understand that the LCM of 616,163,847,217 is 34239128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 163, 847, 217

1. What is the LCM of 616, 163, 847, 217?

Answer: LCM of 616, 163, 847, 217 is 34239128.

2. How to calculate the LCM of 616, 163, 847, 217?

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 616, 163, 847, 217.

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}.