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LCM of 398, 981, 893, 583, 732

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


Find the LCM of 398, 981, 893, 583, 732 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 398, 981, 893, 583, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,981,893,583,732

Given numbers are 398,981,893,583,732

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

The LCM of 398,981,893,583,732 is 24798871816884.

Find LCM of 398,981,893,583,732 with Prime Factorization


2 398, 981, 893, 583, 732
3 199, 981, 893, 583, 366
199, 327, 893, 583, 122

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

2 x 3 x 199 x 327 x 893 x 583 x 122 = 24798871816884

Therefore, the lowest common multiple of 398,981,893,583,732 is 24798871816884.

LCM Formula to Find Lowest Common Multiple of 398,981,893,583,732

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.

398 x 981 x 893 x 583 x 732 = 148793230901304

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.

398 : 1, 2, 199, 398

981 : 1, 3, 9, 109, 327, 981

893 : 1, 19, 47, 893

583 : 1, 11, 53, 583

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,981,893,583,732, is 1.

Now, the common factors can be found like this.

398:2x 199

981:3x 3x 109

893:19x 47

583:11x 53

732:2x 2x 3x 61

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 148793230901304/(1x6)

LCM = 148793230901304/6

LCM = 24798871816884

Thus, we can understand that the LCM of 398,981,893,583,732 is 24798871816884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 981, 893, 583, 732

1. What is the LCM of 398, 981, 893, 583, 732?

Answer: LCM of 398, 981, 893, 583, 732 is 24798871816884.

2. How to calculate the LCM of 398, 981, 893, 583, 732?

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 398, 981, 893, 583, 732.

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}.