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LCM of 598, 846, 445, 966

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


Find the LCM of 598, 846, 445, 966 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 598, 846, 445, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,846,445,966

Given numbers are 598,846,445,966

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

The LCM of 598,846,445,966 is 787951710.

Find LCM of 598,846,445,966 with Prime Factorization


2 598, 846, 445, 966
3 299, 423, 445, 483
23 299, 141, 445, 161
13, 141, 445, 7

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

2 x 3 x 23 x 13 x 141 x 445 x 7 = 787951710

Therefore, the lowest common multiple of 598,846,445,966 is 787951710.

LCM Formula to Find Lowest Common Multiple of 598,846,445,966

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.

598 x 846 x 445 x 966 = 217474671960

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

445 : 1, 5, 89, 445

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,846,445,966, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

846:2x 3x 3x 47

445:5x 89

966:2x 3x 7x 23

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 3x 23 = 276

Therefore, the value for common factors is 276.

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 = 217474671960/(1x276)

LCM = 217474671960/276

LCM = 787951710

Thus, we can understand that the LCM of 598,846,445,966 is 787951710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 846, 445, 966

1. What is the LCM of 598, 846, 445, 966?

Answer: LCM of 598, 846, 445, 966 is 787951710.

2. How to calculate the LCM of 598, 846, 445, 966?

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 598, 846, 445, 966.

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}.