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LCM of 662, 584, 754, 936

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


Find the LCM of 662, 584, 754, 936 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 662, 584, 754, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,584,754,936

Given numbers are 662,584,754,936

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

The LCM of 662,584,754,936 is 655880472.

Find LCM of 662,584,754,936 with Prime Factorization


2 662, 584, 754, 936
2 331, 292, 377, 468
2 331, 146, 377, 234
13 331, 73, 377, 117
331, 73, 29, 9

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

2 x 2 x 2 x 13 x 331 x 73 x 29 x 9 = 655880472

Therefore, the lowest common multiple of 662,584,754,936 is 655880472.

LCM Formula to Find Lowest Common Multiple of 662,584,754,936

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.

662 x 584 x 754 x 936 = 272846276352

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.

662 : 1, 2, 331, 662

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,584,754,936, is 2.

Now, the common factors can be found like this.

662:2x 331

584:2x 2x 2x 73

754:2x 13x 29

936:2x 2x 2x 3x 3x 13

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 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 272846276352/(2x208)

LCM = 272846276352/416

LCM = 655880472

Thus, we can understand that the LCM of 662,584,754,936 is 655880472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 584, 754, 936

1. What is the LCM of 662, 584, 754, 936?

Answer: LCM of 662, 584, 754, 936 is 655880472.

2. How to calculate the LCM of 662, 584, 754, 936?

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 662, 584, 754, 936.

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}.