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LCM of 584, 770, 935, 418

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


Find the LCM of 584, 770, 935, 418 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, 770, 935, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 584,770,935,418

Given numbers are 584,770,935,418

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

The LCM of 584,770,935,418 is 72623320.

Find LCM of 584,770,935,418 with Prime Factorization


2 584, 770, 935, 418
5 292, 385, 935, 209
11 292, 77, 187, 209
292, 7, 17, 19

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

2 x 5 x 11 x 292 x 7 x 17 x 19 = 72623320

Therefore, the lowest common multiple of 584,770,935,418 is 72623320.

LCM Formula to Find Lowest Common Multiple of 584,770,935,418

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 770 x 935 x 418 = 175748434400

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

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

935 : 1, 5, 11, 17, 55, 85, 187, 935

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,770,935,418, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

770:2x 5x 7x 11

935:5x 11x 17

418:2x 11x 19

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

2x 2x 5x 11x 11 = 2420

Therefore, the value for common factors is 2420.

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 = 175748434400/(1x2420)

LCM = 175748434400/2420

LCM = 72623320

Thus, we can understand that the LCM of 584,770,935,418 is 72623320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 584, 770, 935, 418

1. What is the LCM of 584, 770, 935, 418?

Answer: LCM of 584, 770, 935, 418 is 72623320.

2. How to calculate the LCM of 584, 770, 935, 418?

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, 770, 935, 418.

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}.