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LCM of 770, 161, 917, 601, 567

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


Find the LCM of 770, 161, 917, 601, 567 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, 161, 917, 601, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 770,161,917,601,567

Given numbers are 770,161,917,601,567

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

The LCM of 770,161,917,601,567 is 112940406810.

Find LCM of 770,161,917,601,567 with Prime Factorization


7 770, 161, 917, 601, 567
110, 23, 131, 601, 81

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

7 x 110 x 23 x 131 x 601 x 81 = 112940406810

Therefore, the lowest common multiple of 770,161,917,601,567 is 112940406810.

LCM Formula to Find Lowest Common Multiple of 770,161,917,601,567

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 161 x 917 x 601 x 567 = 38738559535830

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

161 : 1, 7, 23, 161

917 : 1, 7, 131, 917

601 : 1, 601

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,161,917,601,567, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

161:7x 23

917:7x 131

601:601

567:3x 3x 3x 3x 7

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 7 = 343

Therefore, the value for common factors is 343.

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 = 38738559535830/(1x343)

LCM = 38738559535830/343

LCM = 112940406810

Thus, we can understand that the LCM of 770,161,917,601,567 is 112940406810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 770, 161, 917, 601, 567

1. What is the LCM of 770, 161, 917, 601, 567?

Answer: LCM of 770, 161, 917, 601, 567 is 112940406810.

2. How to calculate the LCM of 770, 161, 917, 601, 567?

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, 161, 917, 601, 567.

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}.