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LCM of 916, 818, 920, 398, 127

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


Find the LCM of 916, 818, 920, 398, 127 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 916, 818, 920, 398, 127. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 916,818,920,398,127

Given numbers are 916,818,920,398,127

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

The LCM of 916,818,920,398,127 is 2177726896760.

Find LCM of 916,818,920,398,127 with Prime Factorization


2 916, 818, 920, 398, 127
2 458, 409, 460, 199, 127
229, 409, 230, 199, 127

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

2 x 2 x 229 x 409 x 230 x 199 x 127 = 2177726896760

Therefore, the lowest common multiple of 916,818,920,398,127 is 2177726896760.

LCM Formula to Find Lowest Common Multiple of 916,818,920,398,127

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.

916 x 818 x 920 x 398 x 127 = 34843630348160

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.

916 : 1, 2, 4, 229, 458, 916

818 : 1, 2, 409, 818

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

398 : 1, 2, 199, 398

127 : 1, 127

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,818,920,398,127, is 1.

Now, the common factors can be found like this.

916:2x 2x 229

818:2x 409

920:2x 2x 2x 5x 23

398:2x 199

127:127

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 34843630348160/(1x16)

LCM = 34843630348160/16

LCM = 2177726896760

Thus, we can understand that the LCM of 916,818,920,398,127 is 2177726896760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 916, 818, 920, 398, 127

1. What is the LCM of 916, 818, 920, 398, 127?

Answer: LCM of 916, 818, 920, 398, 127 is 2177726896760.

2. How to calculate the LCM of 916, 818, 920, 398, 127?

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 916, 818, 920, 398, 127.

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}.