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LCM of 355, 142, 616, 646, 905

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


Find the LCM of 355, 142, 616, 646, 905 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 355, 142, 616, 646, 905. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 355,142,616,646,905

Given numbers are 355,142,616,646,905

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

The LCM of 355,142,616,646,905 is 12784688840.

Find LCM of 355,142,616,646,905 with Prime Factorization


2 355, 142, 616, 646, 905
5 355, 71, 308, 323, 905
71 71, 71, 308, 323, 181
1, 1, 308, 323, 181

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

2 x 5 x 71 x 1 x 1 x 308 x 323 x 181 = 12784688840

Therefore, the lowest common multiple of 355,142,616,646,905 is 12784688840.

LCM Formula to Find Lowest Common Multiple of 355,142,616,646,905

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.

355 x 142 x 616 x 646 x 905 = 18154258152800

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.

355 : 1, 5, 71, 355

142 : 1, 2, 71, 142

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

646 : 1, 2, 17, 19, 34, 38, 323, 646

905 : 1, 5, 181, 905

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,142,616,646,905, is 1.

Now, the common factors can be found like this.

355:5x 71

142:2x 71

616:2x 2x 2x 7x 11

646:2x 17x 19

905:5x 181

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 5x 71 = 1420

Therefore, the value for common factors is 1420.

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 = 18154258152800/(1x1420)

LCM = 18154258152800/1420

LCM = 12784688840

Thus, we can understand that the LCM of 355,142,616,646,905 is 12784688840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 355, 142, 616, 646, 905

1. What is the LCM of 355, 142, 616, 646, 905?

Answer: LCM of 355, 142, 616, 646, 905 is 12784688840.

2. How to calculate the LCM of 355, 142, 616, 646, 905?

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 355, 142, 616, 646, 905.

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}.