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LCM of 109, 917, 481, 527, 496

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


Find the LCM of 109, 917, 481, 527, 496 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 109, 917, 481, 527, 496. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 109,917,481,527,496

Given numbers are 109,917,481,527,496

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

The LCM of 109,917,481,527,496 is 405388577776.

Find LCM of 109,917,481,527,496 with Prime Factorization


31 109, 917, 481, 527, 496
109, 917, 481, 17, 16

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

31 x 109 x 917 x 481 x 17 x 16 = 405388577776

Therefore, the lowest common multiple of 109,917,481,527,496 is 405388577776.

LCM Formula to Find Lowest Common Multiple of 109,917,481,527,496

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.

109 x 917 x 481 x 527 x 496 = 12567045911056

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.

109 : 1, 109

917 : 1, 7, 131, 917

481 : 1, 13, 37, 481

527 : 1, 17, 31, 527

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,917,481,527,496, is 1.

Now, the common factors can be found like this.

109:109

917:7x 131

481:13x 37

527:17x 31

496:2x 2x 2x 2x 31

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

31 = 31

Therefore, the value for common factors is 31.

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 = 12567045911056/(1x31)

LCM = 12567045911056/31

LCM = 405388577776

Thus, we can understand that the LCM of 109,917,481,527,496 is 405388577776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 109, 917, 481, 527, 496

1. What is the LCM of 109, 917, 481, 527, 496?

Answer: LCM of 109, 917, 481, 527, 496 is 405388577776.

2. How to calculate the LCM of 109, 917, 481, 527, 496?

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 109, 917, 481, 527, 496.

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}.