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LCM of 924, 342, 706, 518

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


Find the LCM of 924, 342, 706, 518 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 924, 342, 706, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 924,342,706,518

Given numbers are 924,342,706,518

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

The LCM of 924,342,706,518 is 687896748.

Find LCM of 924,342,706,518 with Prime Factorization


2 924, 342, 706, 518
3 462, 171, 353, 259
7 154, 57, 353, 259
22, 57, 353, 37

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

2 x 3 x 7 x 22 x 57 x 353 x 37 = 687896748

Therefore, the lowest common multiple of 924,342,706,518 is 687896748.

LCM Formula to Find Lowest Common Multiple of 924,342,706,518

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.

924 x 342 x 706 x 518 = 115566653664

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

706 : 1, 2, 353, 706

518 : 1, 2, 7, 14, 37, 74, 259, 518

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,342,706,518, is 2.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

342:2x 3x 3x 19

706:2x 353

518:2x 7x 37

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 7 = 84

Therefore, the value for common factors is 84.

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 = 115566653664/(2x84)

LCM = 115566653664/168

LCM = 687896748

Thus, we can understand that the LCM of 924,342,706,518 is 687896748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 924, 342, 706, 518

1. What is the LCM of 924, 342, 706, 518?

Answer: LCM of 924, 342, 706, 518 is 687896748.

2. How to calculate the LCM of 924, 342, 706, 518?

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 924, 342, 706, 518.

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}.