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LCM of 742, 987, 611, 806, 930

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


Find the LCM of 742, 987, 611, 806, 930 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 742, 987, 611, 806, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 742,987,611,806,930

Given numbers are 742,987,611,806,930

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

The LCM of 742,987,611,806,930 is 210813330.

Find LCM of 742,987,611,806,930 with Prime Factorization


2 742, 987, 611, 806, 930
3 371, 987, 611, 403, 465
7 371, 329, 611, 403, 155
13 53, 47, 611, 403, 155
31 53, 47, 47, 31, 155
47 53, 47, 47, 1, 5
53, 1, 1, 1, 5

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

2 x 3 x 7 x 13 x 31 x 47 x 53 x 1 x 1 x 1 x 5 = 210813330

Therefore, the lowest common multiple of 742,987,611,806,930 is 210813330.

LCM Formula to Find Lowest Common Multiple of 742,987,611,806,930

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.

742 x 987 x 611 x 806 x 930 = 335413283816520

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

987 : 1, 3, 7, 21, 47, 141, 329, 987

611 : 1, 13, 47, 611

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

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,987,611,806,930, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

987:3x 7x 47

611:13x 47

806:2x 13x 31

930:2x 3x 5x 31

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 3x 7x 13x 31x 47 = 1591044

Therefore, the value for common factors is 1591044.

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 = 335413283816520/(1x1591044)

LCM = 335413283816520/1591044

LCM = 210813330

Thus, we can understand that the LCM of 742,987,611,806,930 is 210813330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 742, 987, 611, 806, 930

1. What is the LCM of 742, 987, 611, 806, 930?

Answer: LCM of 742, 987, 611, 806, 930 is 210813330.

2. How to calculate the LCM of 742, 987, 611, 806, 930?

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 742, 987, 611, 806, 930.

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}.