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LCM of 598, 438, 116, 747, 397

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


Find the LCM of 598, 438, 116, 747, 397 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, 438, 116, 747, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,438,116,747,397

Given numbers are 598,438,116,747,397

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

The LCM of 598,438,116,747,397 is 750867221988.

Find LCM of 598,438,116,747,397 with Prime Factorization


2 598, 438, 116, 747, 397
3 299, 219, 58, 747, 397
299, 73, 58, 249, 397

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

2 x 3 x 299 x 73 x 58 x 249 x 397 = 750867221988

Therefore, the lowest common multiple of 598,438,116,747,397 is 750867221988.

LCM Formula to Find Lowest Common Multiple of 598,438,116,747,397

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 438 x 116 x 747 x 397 = 9010406663856

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

116 : 1, 2, 4, 29, 58, 116

747 : 1, 3, 9, 83, 249, 747

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,438,116,747,397, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

438:2x 3x 73

116:2x 2x 29

747:3x 3x 83

397:397

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 3 = 12

Therefore, the value for common factors is 12.

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 = 9010406663856/(1x12)

LCM = 9010406663856/12

LCM = 750867221988

Thus, we can understand that the LCM of 598,438,116,747,397 is 750867221988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 438, 116, 747, 397

1. What is the LCM of 598, 438, 116, 747, 397?

Answer: LCM of 598, 438, 116, 747, 397 is 750867221988.

2. How to calculate the LCM of 598, 438, 116, 747, 397?

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, 438, 116, 747, 397.

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}.