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LCM of 344, 962, 341, 387

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


Find the LCM of 344, 962, 341, 387 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 344, 962, 341, 387. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 344,962,341,387

Given numbers are 344,962,341,387

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

The LCM of 344,962,341,387 is 507809016.

Find LCM of 344,962,341,387 with Prime Factorization


2 344, 962, 341, 387
43 172, 481, 341, 387
4, 481, 341, 9

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

2 x 43 x 4 x 481 x 341 x 9 = 507809016

Therefore, the lowest common multiple of 344,962,341,387 is 507809016.

LCM Formula to Find Lowest Common Multiple of 344,962,341,387

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.

344 x 962 x 341 x 387 = 43671575376

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

962 : 1, 2, 13, 26, 37, 74, 481, 962

341 : 1, 11, 31, 341

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,962,341,387, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

962:2x 13x 37

341:11x 31

387:3x 3x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 43 = 86

Therefore, the value for common factors is 86.

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 = 43671575376/(1x86)

LCM = 43671575376/86

LCM = 507809016

Thus, we can understand that the LCM of 344,962,341,387 is 507809016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 344, 962, 341, 387

1. What is the LCM of 344, 962, 341, 387?

Answer: LCM of 344, 962, 341, 387 is 507809016.

2. How to calculate the LCM of 344, 962, 341, 387?

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 344, 962, 341, 387.

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}.