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LCM of 107, 936, 168, 477, 681

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


Find the LCM of 107, 936, 168, 477, 681 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 107, 936, 168, 477, 681. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,936,168,477,681

Given numbers are 107,936,168,477,681

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

The LCM of 107,936,168,477,681 is 8434500984.

Find LCM of 107,936,168,477,681 with Prime Factorization


2 107, 936, 168, 477, 681
2 107, 468, 84, 477, 681
2 107, 234, 42, 477, 681
3 107, 117, 21, 477, 681
3 107, 39, 7, 159, 227
107, 13, 7, 53, 227

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

2 x 2 x 2 x 3 x 3 x 107 x 13 x 7 x 53 x 227 = 8434500984

Therefore, the lowest common multiple of 107,936,168,477,681 is 8434500984.

LCM Formula to Find Lowest Common Multiple of 107,936,168,477,681

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.

107 x 936 x 168 x 477 x 681 = 5465556637632

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.

107 : 1, 107

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

477 : 1, 3, 9, 53, 159, 477

681 : 1, 3, 227, 681

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,936,168,477,681, is 1.

Now, the common factors can be found like this.

107:107

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

168:2x 2x 2x 3x 7

477:3x 3x 53

681:3x 227

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 5465556637632/(1x648)

LCM = 5465556637632/648

LCM = 8434500984

Thus, we can understand that the LCM of 107,936,168,477,681 is 8434500984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 936, 168, 477, 681

1. What is the LCM of 107, 936, 168, 477, 681?

Answer: LCM of 107, 936, 168, 477, 681 is 8434500984.

2. How to calculate the LCM of 107, 936, 168, 477, 681?

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 107, 936, 168, 477, 681.

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}.