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LCM of 770, 823, 121, 368

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


Find the LCM of 770, 823, 121, 368 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 770, 823, 121, 368. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,823,121,368

Given numbers are 770,823,121,368

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

The LCM of 770,823,121,368 is 1282629040.

Find LCM of 770,823,121,368 with Prime Factorization


2 770, 823, 121, 368
11 385, 823, 121, 184
35, 823, 11, 184

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

2 x 11 x 35 x 823 x 11 x 184 = 1282629040

Therefore, the lowest common multiple of 770,823,121,368 is 1282629040.

LCM Formula to Find Lowest Common Multiple of 770,823,121,368

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.

770 x 823 x 121 x 368 = 28217838880

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

823 : 1, 823

121 : 1, 11, 121

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,823,121,368, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

823:823

121:11x 11

368:2x 2x 2x 2x 23

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 = 28217838880/(1x22)

LCM = 28217838880/22

LCM = 1282629040

Thus, we can understand that the LCM of 770,823,121,368 is 1282629040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 823, 121, 368

1. What is the LCM of 770, 823, 121, 368?

Answer: LCM of 770, 823, 121, 368 is 1282629040.

2. How to calculate the LCM of 770, 823, 121, 368?

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 770, 823, 121, 368.

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}.