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LCM of 584, 767, 209, 949

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


Find the LCM of 584, 767, 209, 949 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 584, 767, 209, 949. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,767,209,949

Given numbers are 584,767,209,949

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

The LCM of 584,767,209,949 is 93616952.

Find LCM of 584,767,209,949 with Prime Factorization


13 584, 767, 209, 949
73 584, 59, 209, 73
8, 59, 209, 1

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

13 x 73 x 8 x 59 x 209 x 1 = 93616952

Therefore, the lowest common multiple of 584,767,209,949 is 93616952.

LCM Formula to Find Lowest Common Multiple of 584,767,209,949

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.

584 x 767 x 209 x 949 = 88842487448

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

767 : 1, 13, 59, 767

209 : 1, 11, 19, 209

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,767,209,949, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

767:13x 59

209:11x 19

949:13x 73

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

13x 73 = 949

Therefore, the value for common factors is 949.

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 = 88842487448/(1x949)

LCM = 88842487448/949

LCM = 93616952

Thus, we can understand that the LCM of 584,767,209,949 is 93616952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 584, 767, 209, 949

1. What is the LCM of 584, 767, 209, 949?

Answer: LCM of 584, 767, 209, 949 is 93616952.

2. How to calculate the LCM of 584, 767, 209, 949?

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 584, 767, 209, 949.

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}.