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LCM of 565, 174, 185, 979

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


Find the LCM of 565, 174, 185, 979 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 565, 174, 185, 979. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 565,174,185,979

Given numbers are 565,174,185,979

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

The LCM of 565,174,185,979 is 3561083130.

Find LCM of 565,174,185,979 with Prime Factorization


5 565, 174, 185, 979
113, 174, 37, 979

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

5 x 113 x 174 x 37 x 979 = 3561083130

Therefore, the lowest common multiple of 565,174,185,979 is 3561083130.

LCM Formula to Find Lowest Common Multiple of 565,174,185,979

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.

565 x 174 x 185 x 979 = 17805415650

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.

565 : 1, 5, 113, 565

174 : 1, 2, 3, 6, 29, 58, 87, 174

185 : 1, 5, 37, 185

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,174,185,979, is 1.

Now, the common factors can be found like this.

565:5x 113

174:2x 3x 29

185:5x 37

979:11x 89

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

5 = 5

Therefore, the value for common factors is 5.

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 = 17805415650/(1x5)

LCM = 17805415650/5

LCM = 3561083130

Thus, we can understand that the LCM of 565,174,185,979 is 3561083130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 565, 174, 185, 979

1. What is the LCM of 565, 174, 185, 979?

Answer: LCM of 565, 174, 185, 979 is 3561083130.

2. How to calculate the LCM of 565, 174, 185, 979?

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 565, 174, 185, 979.

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}.