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LCM of 596, 713, 474, 567, 528

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


Find the LCM of 596, 713, 474, 567, 528 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 596, 713, 474, 567, 528. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 596,713,474,567,528

Given numbers are 596,713,474,567,528

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

The LCM of 596,713,474,567,528 is 837526613616.

Find LCM of 596,713,474,567,528 with Prime Factorization


2 596, 713, 474, 567, 528
2 298, 713, 237, 567, 264
3 149, 713, 237, 567, 132
149, 713, 79, 189, 44

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

2 x 2 x 3 x 149 x 713 x 79 x 189 x 44 = 837526613616

Therefore, the lowest common multiple of 596,713,474,567,528 is 837526613616.

LCM Formula to Find Lowest Common Multiple of 596,713,474,567,528

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.

596 x 713 x 474 x 567 x 528 = 60301916180352

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.

596 : 1, 2, 4, 149, 298, 596

713 : 1, 23, 31, 713

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,713,474,567,528, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

713:23x 31

474:2x 3x 79

567:3x 3x 3x 3x 7

528:2x 2x 2x 2x 3x 11

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 60301916180352/(1x72)

LCM = 60301916180352/72

LCM = 837526613616

Thus, we can understand that the LCM of 596,713,474,567,528 is 837526613616.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 596, 713, 474, 567, 528

1. What is the LCM of 596, 713, 474, 567, 528?

Answer: LCM of 596, 713, 474, 567, 528 is 837526613616.

2. How to calculate the LCM of 596, 713, 474, 567, 528?

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 596, 713, 474, 567, 528.

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}.