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LCM of 745, 611, 806, 527

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


Find the LCM of 745, 611, 806, 527 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 745, 611, 806, 527. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,611,806,527

Given numbers are 745,611,806,527

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

The LCM of 745,611,806,527 is 479775530.

Find LCM of 745,611,806,527 with Prime Factorization


13 745, 611, 806, 527
31 745, 47, 62, 527
745, 47, 2, 17

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

13 x 31 x 745 x 47 x 2 x 17 = 479775530

Therefore, the lowest common multiple of 745,611,806,527 is 479775530.

LCM Formula to Find Lowest Common Multiple of 745,611,806,527

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.

745 x 611 x 806 x 527 = 193349538590

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.

745 : 1, 5, 149, 745

611 : 1, 13, 47, 611

806 : 1, 2, 13, 26, 31, 62, 403, 806

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,611,806,527, is 1.

Now, the common factors can be found like this.

745:5x 149

611:13x 47

806:2x 13x 31

527:17x 31

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

13x 31 = 403

Therefore, the value for common factors is 403.

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 = 193349538590/(1x403)

LCM = 193349538590/403

LCM = 479775530

Thus, we can understand that the LCM of 745,611,806,527 is 479775530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 611, 806, 527

1. What is the LCM of 745, 611, 806, 527?

Answer: LCM of 745, 611, 806, 527 is 479775530.

2. How to calculate the LCM of 745, 611, 806, 527?

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 745, 611, 806, 527.

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}.