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LCM of 930, 398, 696, 995

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


Find the LCM of 930, 398, 696, 995 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 930, 398, 696, 995. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 930,398,696,995

Given numbers are 930,398,696,995

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

The LCM of 930,398,696,995 is 21468120.

Find LCM of 930,398,696,995 with Prime Factorization


2 930, 398, 696, 995
3 465, 199, 348, 995
5 155, 199, 116, 995
199 31, 199, 116, 199
31, 1, 116, 1

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

2 x 3 x 5 x 199 x 31 x 1 x 116 x 1 = 21468120

Therefore, the lowest common multiple of 930,398,696,995 is 21468120.

LCM Formula to Find Lowest Common Multiple of 930,398,696,995

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.

930 x 398 x 696 x 995 = 256329352800

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

398 : 1, 2, 199, 398

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

995 : 1, 5, 199, 995

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,398,696,995, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

398:2x 199

696:2x 2x 2x 3x 29

995:5x 199

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 5x 199 = 11940

Therefore, the value for common factors is 11940.

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 = 256329352800/(1x11940)

LCM = 256329352800/11940

LCM = 21468120

Thus, we can understand that the LCM of 930,398,696,995 is 21468120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 930, 398, 696, 995

1. What is the LCM of 930, 398, 696, 995?

Answer: LCM of 930, 398, 696, 995 is 21468120.

2. How to calculate the LCM of 930, 398, 696, 995?

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 930, 398, 696, 995.

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}.