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LCM of 101, 563, 706, 535, 963

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


Find the LCM of 101, 563, 706, 535, 963 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 101, 563, 706, 535, 963. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,563,706,535,963

Given numbers are 101,563,706,535,963

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

The LCM of 101,563,706,535,963 is 193299513570.

Find LCM of 101,563,706,535,963 with Prime Factorization


107 101, 563, 706, 535, 963
101, 563, 706, 5, 9

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

107 x 101 x 563 x 706 x 5 x 9 = 193299513570

Therefore, the lowest common multiple of 101,563,706,535,963 is 193299513570.

LCM Formula to Find Lowest Common Multiple of 101,563,706,535,963

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.

101 x 563 x 706 x 535 x 963 = 20683047951990

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.

101 : 1, 101

563 : 1, 563

706 : 1, 2, 353, 706

535 : 1, 5, 107, 535

963 : 1, 3, 9, 107, 321, 963

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,563,706,535,963, is 1.

Now, the common factors can be found like this.

101:101

563:563

706:2x 353

535:5x 107

963:3x 3x 107

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

107 = 107

Therefore, the value for common factors is 107.

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 = 20683047951990/(1x107)

LCM = 20683047951990/107

LCM = 193299513570

Thus, we can understand that the LCM of 101,563,706,535,963 is 193299513570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 563, 706, 535, 963

1. What is the LCM of 101, 563, 706, 535, 963?

Answer: LCM of 101, 563, 706, 535, 963 is 193299513570.

2. How to calculate the LCM of 101, 563, 706, 535, 963?

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 101, 563, 706, 535, 963.

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}.