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LCM of 121, 936, 685, 894, 342

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


Find the LCM of 121, 936, 685, 894, 342 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 121, 936, 685, 894, 342. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 121,936,685,894,342

Given numbers are 121,936,685,894,342

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

The LCM of 121,936,685,894,342 is 219629999160.

Find LCM of 121,936,685,894,342 with Prime Factorization


2 121, 936, 685, 894, 342
3 121, 468, 685, 447, 171
3 121, 156, 685, 149, 57
121, 52, 685, 149, 19

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

2 x 3 x 3 x 121 x 52 x 685 x 149 x 19 = 219629999160

Therefore, the lowest common multiple of 121,936,685,894,342 is 219629999160.

LCM Formula to Find Lowest Common Multiple of 121,936,685,894,342

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.

121 x 936 x 685 x 894 x 342 = 23720039909280

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.

121 : 1, 11, 121

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

685 : 1, 5, 137, 685

894 : 1, 2, 3, 6, 149, 298, 447, 894

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,936,685,894,342, is 1.

Now, the common factors can be found like this.

121:11x 11

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

685:5x 137

894:2x 3x 149

342:2x 3x 3x 19

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 3 = 108

Therefore, the value for common factors is 108.

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 = 23720039909280/(1x108)

LCM = 23720039909280/108

LCM = 219629999160

Thus, we can understand that the LCM of 121,936,685,894,342 is 219629999160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 121, 936, 685, 894, 342

1. What is the LCM of 121, 936, 685, 894, 342?

Answer: LCM of 121, 936, 685, 894, 342 is 219629999160.

2. How to calculate the LCM of 121, 936, 685, 894, 342?

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 121, 936, 685, 894, 342.

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}.