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LCM of 372, 283, 789, 706, 465

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


Find the LCM of 372, 283, 789, 706, 465 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 372, 283, 789, 706, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 372,283,789,706,465

Given numbers are 372,283,789,706,465

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

The LCM of 372,283,789,706,465 is 48868592820.

Find LCM of 372,283,789,706,465 with Prime Factorization


2 372, 283, 789, 706, 465
3 186, 283, 789, 353, 465
31 62, 283, 263, 353, 155
2, 283, 263, 353, 5

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

2 x 3 x 31 x 2 x 283 x 263 x 353 x 5 = 48868592820

Therefore, the lowest common multiple of 372,283,789,706,465 is 48868592820.

LCM Formula to Find Lowest Common Multiple of 372,283,789,706,465

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.

372 x 283 x 789 x 706 x 465 = 27268674793560

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

283 : 1, 283

789 : 1, 3, 263, 789

706 : 1, 2, 353, 706

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,283,789,706,465, is 1.

Now, the common factors can be found like this.

372:2x 2x 3x 31

283:283

789:3x 263

706:2x 353

465:3x 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 3x 3x 31 = 558

Therefore, the value for common factors is 558.

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 = 27268674793560/(1x558)

LCM = 27268674793560/558

LCM = 48868592820

Thus, we can understand that the LCM of 372,283,789,706,465 is 48868592820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 372, 283, 789, 706, 465

1. What is the LCM of 372, 283, 789, 706, 465?

Answer: LCM of 372, 283, 789, 706, 465 is 48868592820.

2. How to calculate the LCM of 372, 283, 789, 706, 465?

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 372, 283, 789, 706, 465.

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}.