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LCM of 394, 722, 152, 979, 542

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


Find the LCM of 394, 722, 152, 979, 542 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 394, 722, 152, 979, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,722,152,979,542

Given numbers are 394,722,152,979,542

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

The LCM of 394,722,152,979,542 is 150943841224.

Find LCM of 394,722,152,979,542 with Prime Factorization


2 394, 722, 152, 979, 542
19 197, 361, 76, 979, 271
197, 19, 4, 979, 271

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

2 x 19 x 197 x 19 x 4 x 979 x 271 = 150943841224

Therefore, the lowest common multiple of 394,722,152,979,542 is 150943841224.

LCM Formula to Find Lowest Common Multiple of 394,722,152,979,542

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.

394 x 722 x 152 x 979 x 542 = 22943463866048

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.

394 : 1, 2, 197, 394

722 : 1, 2, 19, 38, 361, 722

152 : 1, 2, 4, 8, 19, 38, 76, 152

979 : 1, 11, 89, 979

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,722,152,979,542, is 1.

Now, the common factors can be found like this.

394:2x 197

722:2x 19x 19

152:2x 2x 2x 19

979:11x 89

542:2x 271

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 19 = 152

Therefore, the value for common factors is 152.

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 = 22943463866048/(1x152)

LCM = 22943463866048/152

LCM = 150943841224

Thus, we can understand that the LCM of 394,722,152,979,542 is 150943841224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 722, 152, 979, 542

1. What is the LCM of 394, 722, 152, 979, 542?

Answer: LCM of 394, 722, 152, 979, 542 is 150943841224.

2. How to calculate the LCM of 394, 722, 152, 979, 542?

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 394, 722, 152, 979, 542.

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}.