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LCM of 419, 330, 770, 993

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


Find the LCM of 419, 330, 770, 993 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 419, 330, 770, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 419,330,770,993

Given numbers are 419,330,770,993

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

The LCM of 419,330,770,993 is 320371590.

Find LCM of 419,330,770,993 with Prime Factorization


2 419, 330, 770, 993
3 419, 165, 385, 993
5 419, 55, 385, 331
11 419, 11, 77, 331
419, 1, 7, 331

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

2 x 3 x 5 x 11 x 419 x 1 x 7 x 331 = 320371590

Therefore, the lowest common multiple of 419,330,770,993 is 320371590.

LCM Formula to Find Lowest Common Multiple of 419,330,770,993

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.

419 x 330 x 770 x 993 = 105722624700

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.

419 : 1, 419

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,330,770,993, is 1.

Now, the common factors can be found like this.

419:419

330:2x 3x 5x 11

770:2x 5x 7x 11

993:3x 331

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 5x 11 = 330

Therefore, the value for common factors is 330.

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 = 105722624700/(1x330)

LCM = 105722624700/330

LCM = 320371590

Thus, we can understand that the LCM of 419,330,770,993 is 320371590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 419, 330, 770, 993

1. What is the LCM of 419, 330, 770, 993?

Answer: LCM of 419, 330, 770, 993 is 320371590.

2. How to calculate the LCM of 419, 330, 770, 993?

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 419, 330, 770, 993.

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}.