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LCM of 293, 586, 730, 904

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


Find the LCM of 293, 586, 730, 904 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 293, 586, 730, 904. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,586,730,904

Given numbers are 293,586,730,904

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

The LCM of 293,586,730,904 is 96678280.

Find LCM of 293,586,730,904 with Prime Factorization


2 293, 586, 730, 904
293 293, 293, 365, 452
1, 1, 365, 452

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

2 x 293 x 1 x 1 x 365 x 452 = 96678280

Therefore, the lowest common multiple of 293,586,730,904 is 96678280.

LCM Formula to Find Lowest Common Multiple of 293,586,730,904

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.

293 x 586 x 730 x 904 = 113306944160

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.

293 : 1, 293

586 : 1, 2, 293, 586

730 : 1, 2, 5, 10, 73, 146, 365, 730

904 : 1, 2, 4, 8, 113, 226, 452, 904

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,586,730,904, is 1.

Now, the common factors can be found like this.

293:293

586:2x 293

730:2x 5x 73

904:2x 2x 2x 113

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 293 = 1172

Therefore, the value for common factors is 1172.

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 = 113306944160/(1x1172)

LCM = 113306944160/1172

LCM = 96678280

Thus, we can understand that the LCM of 293,586,730,904 is 96678280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 586, 730, 904

1. What is the LCM of 293, 586, 730, 904?

Answer: LCM of 293, 586, 730, 904 is 96678280.

2. How to calculate the LCM of 293, 586, 730, 904?

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 293, 586, 730, 904.

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}.