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LCM of 461, 860, 294, 333, 616

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


Find the LCM of 461, 860, 294, 333, 616 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 461, 860, 294, 333, 616. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,860,294,333,616

Given numbers are 461,860,294,333,616

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

The LCM of 461,860,294,333,616 is 142318832040.

Find LCM of 461,860,294,333,616 with Prime Factorization


2 461, 860, 294, 333, 616
2 461, 430, 147, 333, 308
3 461, 215, 147, 333, 154
7 461, 215, 49, 111, 154
461, 215, 7, 111, 22

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

2 x 2 x 3 x 7 x 461 x 215 x 7 x 111 x 22 = 142318832040

Therefore, the lowest common multiple of 461,860,294,333,616 is 142318832040.

LCM Formula to Find Lowest Common Multiple of 461,860,294,333,616

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.

461 x 860 x 294 x 333 x 616 = 23909563782720

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.

461 : 1, 461

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

333 : 1, 3, 9, 37, 111, 333

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,860,294,333,616, is 1.

Now, the common factors can be found like this.

461:461

860:2x 2x 5x 43

294:2x 3x 7x 7

333:3x 3x 37

616:2x 2x 2x 7x 11

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 7 = 168

Therefore, the value for common factors is 168.

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 = 23909563782720/(1x168)

LCM = 23909563782720/168

LCM = 142318832040

Thus, we can understand that the LCM of 461,860,294,333,616 is 142318832040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 461, 860, 294, 333, 616

1. What is the LCM of 461, 860, 294, 333, 616?

Answer: LCM of 461, 860, 294, 333, 616 is 142318832040.

2. How to calculate the LCM of 461, 860, 294, 333, 616?

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 461, 860, 294, 333, 616.

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}.