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LCM of 923, 945, 936, 364, 635

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


Find the LCM of 923, 945, 936, 364, 635 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 923, 945, 936, 364, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 923,945,936,364,635

Given numbers are 923,945,936,364,635

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

The LCM of 923,945,936,364,635 is 886190760.

Find LCM of 923,945,936,364,635 with Prime Factorization


2 923, 945, 936, 364, 635
2 923, 945, 468, 182, 635
3 923, 945, 234, 91, 635
3 923, 315, 78, 91, 635
5 923, 105, 26, 91, 635
7 923, 21, 26, 91, 127
13 923, 3, 26, 13, 127
71, 3, 2, 1, 127

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

2 x 2 x 3 x 3 x 5 x 7 x 13 x 71 x 3 x 2 x 1 x 127 = 886190760

Therefore, the lowest common multiple of 923,945,936,364,635 is 886190760.

LCM Formula to Find Lowest Common Multiple of 923,945,936,364,635

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.

923 x 945 x 936 x 364 x 635 = 188705460434400

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.

923 : 1, 13, 71, 923

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,945,936,364,635, is 1.

Now, the common factors can be found like this.

923:13x 71

945:3x 3x 3x 5x 7

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

364:2x 2x 7x 13

635:5x 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 3x 3x 5x 7x 13x 13 = 212940

Therefore, the value for common factors is 212940.

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 = 188705460434400/(1x212940)

LCM = 188705460434400/212940

LCM = 886190760

Thus, we can understand that the LCM of 923,945,936,364,635 is 886190760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 923, 945, 936, 364, 635

1. What is the LCM of 923, 945, 936, 364, 635?

Answer: LCM of 923, 945, 936, 364, 635 is 886190760.

2. How to calculate the LCM of 923, 945, 936, 364, 635?

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 923, 945, 936, 364, 635.

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}.