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LCM of 816, 119, 934, 153

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


Find the LCM of 816, 119, 934, 153 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 816, 119, 934, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 816,119,934,153

Given numbers are 816,119,934,153

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

The LCM of 816,119,934,153 is 8002512.

Find LCM of 816,119,934,153 with Prime Factorization


2 816, 119, 934, 153
3 408, 119, 467, 153
17 136, 119, 467, 51
8, 7, 467, 3

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

2 x 3 x 17 x 8 x 7 x 467 x 3 = 8002512

Therefore, the lowest common multiple of 816,119,934,153 is 8002512.

LCM Formula to Find Lowest Common Multiple of 816,119,934,153

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.

816 x 119 x 934 x 153 = 13876355808

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.

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

119 : 1, 7, 17, 119

934 : 1, 2, 467, 934

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,119,934,153, is 1.

Now, the common factors can be found like this.

816:2x 2x 2x 2x 3x 17

119:7x 17

934:2x 467

153:3x 3x 17

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 17x 17 = 1734

Therefore, the value for common factors is 1734.

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 = 13876355808/(1x1734)

LCM = 13876355808/1734

LCM = 8002512

Thus, we can understand that the LCM of 816,119,934,153 is 8002512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 816, 119, 934, 153

1. What is the LCM of 816, 119, 934, 153?

Answer: LCM of 816, 119, 934, 153 is 8002512.

2. How to calculate the LCM of 816, 119, 934, 153?

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 816, 119, 934, 153.

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}.