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LCM of 168, 747, 977, 830

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


Find the LCM of 168, 747, 977, 830 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 168, 747, 977, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 168,747,977,830

Given numbers are 168,747,977,830

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

The LCM of 168,747,977,830 is 204349320.

Find LCM of 168,747,977,830 with Prime Factorization


2 168, 747, 977, 830
3 84, 747, 977, 415
83 28, 249, 977, 415
28, 3, 977, 5

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

2 x 3 x 83 x 28 x 3 x 977 x 5 = 204349320

Therefore, the lowest common multiple of 168,747,977,830 is 204349320.

LCM Formula to Find Lowest Common Multiple of 168,747,977,830

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.

168 x 747 x 977 x 830 = 101765961360

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.

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

747 : 1, 3, 9, 83, 249, 747

977 : 1, 977

830 : 1, 2, 5, 10, 83, 166, 415, 830

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,747,977,830, is 1.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

747:3x 3x 83

977:977

830:2x 5x 83

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

2x 3x 83 = 498

Therefore, the value for common factors is 498.

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 = 101765961360/(1x498)

LCM = 101765961360/498

LCM = 204349320

Thus, we can understand that the LCM of 168,747,977,830 is 204349320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 168, 747, 977, 830

1. What is the LCM of 168, 747, 977, 830?

Answer: LCM of 168, 747, 977, 830 is 204349320.

2. How to calculate the LCM of 168, 747, 977, 830?

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 168, 747, 977, 830.

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}.