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LCM of 967, 323, 542, 496, 518

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


Find the LCM of 967, 323, 542, 496, 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 967, 323, 542, 496, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 967,323,542,496,518

Given numbers are 967,323,542,496,518

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

The LCM of 967,323,542,496,518 is 10873759614704.

Find LCM of 967,323,542,496,518 with Prime Factorization


2 967, 323, 542, 496, 518
967, 323, 271, 248, 259

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

2 x 967 x 323 x 271 x 248 x 259 = 10873759614704

Therefore, the lowest common multiple of 967,323,542,496,518 is 10873759614704.

LCM Formula to Find Lowest Common Multiple of 967,323,542,496,518

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.

967 x 323 x 542 x 496 x 518 = 43495038458816

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.

967 : 1, 967

323 : 1, 17, 19, 323

542 : 1, 2, 271, 542

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 967,323,542,496,518, is 1.

Now, the common factors can be found like this.

967:967

323:17x 19

542:2x 271

496:2x 2x 2x 2x 31

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 2 = 4

Therefore, the value for common factors is 4.

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 = 43495038458816/(1x4)

LCM = 43495038458816/4

LCM = 10873759614704

Thus, we can understand that the LCM of 967,323,542,496,518 is 10873759614704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 967, 323, 542, 496, 518

1. What is the LCM of 967, 323, 542, 496, 518?

Answer: LCM of 967, 323, 542, 496, 518 is 10873759614704.

2. How to calculate the LCM of 967, 323, 542, 496, 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 967, 323, 542, 496, 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}.