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LCM of 101, 455, 936, 949, 103

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


Find the LCM of 101, 455, 936, 949, 103 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, 455, 936, 949, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,455,936,949,103

Given numbers are 101,455,936,949,103

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

The LCM of 101,455,936,949,103 is 24878566440.

Find LCM of 101,455,936,949,103 with Prime Factorization


13 101, 455, 936, 949, 103
101, 35, 72, 73, 103

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

13 x 101 x 35 x 72 x 73 x 103 = 24878566440

Therefore, the lowest common multiple of 101,455,936,949,103 is 24878566440.

LCM Formula to Find Lowest Common Multiple of 101,455,936,949,103

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 455 x 936 x 949 x 103 = 4204477728360

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

949 : 1, 13, 73, 949

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,455,936,949,103, is 1.

Now, the common factors can be found like this.

101:101

455:5x 7x 13

936:2x 2x 2x 3x 3x 13

949:13x 73

103:103

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 4204477728360/(1x169)

LCM = 4204477728360/169

LCM = 24878566440

Thus, we can understand that the LCM of 101,455,936,949,103 is 24878566440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 455, 936, 949, 103

1. What is the LCM of 101, 455, 936, 949, 103?

Answer: LCM of 101, 455, 936, 949, 103 is 24878566440.

2. How to calculate the LCM of 101, 455, 936, 949, 103?

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, 455, 936, 949, 103.

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}.