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LCM of 116, 697, 522, 817, 632

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


Find the LCM of 116, 697, 522, 817, 632 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 116, 697, 522, 817, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 116,697,522,817,632

Given numbers are 116,697,522,817,632

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

The LCM of 116,697,522,817,632 is 93931751448.

Find LCM of 116,697,522,817,632 with Prime Factorization


2 116, 697, 522, 817, 632
2 58, 697, 261, 817, 316
29 29, 697, 261, 817, 158
1, 697, 9, 817, 158

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

2 x 2 x 29 x 1 x 697 x 9 x 817 x 158 = 93931751448

Therefore, the lowest common multiple of 116,697,522,817,632 is 93931751448.

LCM Formula to Find Lowest Common Multiple of 116,697,522,817,632

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.

116 x 697 x 522 x 817 x 632 = 21792166335936

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.

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

697 : 1, 17, 41, 697

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

817 : 1, 19, 43, 817

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,697,522,817,632, is 1.

Now, the common factors can be found like this.

116:2x 2x 29

697:17x 41

522:2x 3x 3x 29

817:19x 43

632:2x 2x 2x 79

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 29 = 232

Therefore, the value for common factors is 232.

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 = 21792166335936/(1x232)

LCM = 21792166335936/232

LCM = 93931751448

Thus, we can understand that the LCM of 116,697,522,817,632 is 93931751448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 116, 697, 522, 817, 632

1. What is the LCM of 116, 697, 522, 817, 632?

Answer: LCM of 116, 697, 522, 817, 632 is 93931751448.

2. How to calculate the LCM of 116, 697, 522, 817, 632?

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 116, 697, 522, 817, 632.

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}.